What are the solutions of x^2 - 2x + 10 = 0?

What Are The Solutions Of X^2 - 2x + 10 = 0?

Answers

Answer 1

Answer:

C. x = 1 + 3i or x = 1 - 3i

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Algebra II

Imaginary Roots: √-1 = i

Step-by-step explanation:

Step 1: Define

x² - 2x + 10 = 0

Step 2: Identify Variables

a = 1

b = -2

c = 10

Step 3: Find roots

Substitute [Quad Formula]:                    [tex]x=\frac{2\pm\sqrt{(-2)^2-4(1)(10)} }{2(1)}[/tex]Exponents:                                              [tex]x=\frac{2\pm\sqrt{4-4(1)(10)} }{2(1)}[/tex]Multiply:                                                   [tex]x=\frac{2\pm\sqrt{4-40} }{2}[/tex]Subtract:                                                  [tex]x=\frac{2\pm\sqrt{-36} }{2}[/tex]Factor:                                                     [tex]x=\frac{2\pm\sqrt{-1} \sqrt{36} }{2}[/tex]Simplify:                                                   [tex]x=\frac{2\pm6i }{2}[/tex]Factor:                                                     [tex]x=\frac{2(1\pm3i) }{2}[/tex]Divide:                                                     [tex]x=1\pm3i[/tex]

Related Questions

What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?

Answers

Answer:

22 meters per second

Step-by-step explanation:

If a car is going 374 meters in 17 seconds then you divide 374/17 claiming that the car is going 22 meters every second.


Suppose that in 8 minutes, 64 gallons of water came out of a pipe.
What was the rate in gallons per minute?
gallons per minute

Answers

Answer:

8 gallons/minute

Step-by-step explanation:

8 minutes= 64 gallons

1 mintes = x

8x= 64 gallons

x=8 gallons

8 gallons/minute

help pls Ix would really appreciate

Answers

Answer:

B

Step-by-step explanation:

g(2)=-7 because -(2)-5=-7

f(-7)=-18 because 2(-7)-4=-18

which property is used in the problem below
2(x+4)=2x+8​

Answers

Answer:

Distributive property

The Distributive property. 2(x+4) got turned into 2x+8. The distributive property does this: 2 times x plus 2 times 4.

Step-by-step explanation:

Answer:God bless you and your family and friends and stay safe and good luck! :)

Step-by-step explanation:

The answer is C) The Distributive property.

2(x+4) got turned into 2x+8.

The distributive property does this:

2 times x plus 2 times 4.

2 times x = 2x

2 times 4 = 8.

So the answer is 2x+8.

C) Distributive property is right.

Simplify the following expression: (12x – 7) + (7x + 9)
A) 19x – 2
B) 5x+ 16
C) 5x – 16
D) 19x + 2

Answers

Answer:

D.

Step-by-step explanation:

12x + 7x = 19x

-7 + +9 = 2

Answer:

d

Step-by-step explanation:

another fraction operation, what is 1/4 divide by 1/4

Answers

answer

624/10000 or 39/625

Answer:

The answer is 1

:D

Step-by-step explanation:

1/4 ÷ 1/4 =  1/4 ÷ 4/1 (flip the recipocal) = 1

The graph above shows the costs of two phone plans. How many minutes does a person need to call each month so that Plan B is the less expensive plan to use?

A. Less than 10 minutes

B. More than 10 minutes but less than 20 minutes

C. More than 30 minutes but less than 40

D. More than 40 minutes

Answers

Answer:

uhm, i need this answer also

Step-by-step explanation:

did you ever get the answer ? if so could you be kind enough to give it to me pleasee

a student earned a grade of 80% on a math test that had 20 problems how many problems on this test did the student answer correctly

Answers

Answer:

16

Step-by-step explanation:

To find 80% of 20, multiply .80 x 20

.80×20 = 16

This is how you multiply percentages--put the decimal point 2 places to the left, then multiply.  In this case, you're looking at 80%, so move the decimal point two places to the left

80.0 becomes .80

Then multiply that by the number you're trying to find the percentage of

What is the range of the graphed function?
{x |1< x < 5)
{y |1 < y <5}
{x | x is a real number}
{y|y is a real number}

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

[tex]V=\sqrt[3]{x-1}+3[/tex]

Determining the domain:

We know that the domain of a function is the set of input values for which the function is defined.

From the given graph, it is clear that the function has no undefined points nor domain constraints.

Therefore, the domain is:

{x | x is a real number}

In other words:

[tex]\mathrm{Domain\:of\:}\:\sqrt[3]{x-1}+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Determining the range:

We know that the range of a function is the set of values of the dependent variable for which a function is defined.

It is clear from the graph that the range can be any real number.

i.e. the range is:

{y|y is a real number}

In other words,

[tex]\mathrm{Range\:of\:}\sqrt[3]{x-1}+3:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

The sum of 333 consecutive odd numbers is 183183183.
What is the second number in this sequence?

Answers

The second number is 8 cause it’s the second one

Answer: if this is khan academy the answer is 61

Step-by-step explanation:

the greatest common divisor of positive integers $m$ and $n$ is $8$. the least common multiple of $m$ and $n$ is $112$. what is the least possible value of $m n$?

Answers

Given the greatest common divisor and the least common multiple, the least possible value of mn is 896

How to determine the least possible value of mn?

The given parameters are:

M and N are positive integers

Greatest common divisor =  8

Least common multiple = 112

As a general rule;

The product of the greatest common divisor and the least common multiple of numbers represent the product of the numbers

This means that

mn = Greatest common divisor * Least common multiple

So, we have

mn = 8 * 112

Evaluate

mn = 896

Hence, the least possible value of mn is 896

Read more about least common multiple at

https://brainly.com/question/10749076

#SPJ1

Which could be the function graphed below?

Answers

Answer:

sqrt(x+4)

Step-by-step explanation:

the graph is sqrt(x) translated 4 to the left, so +4

The function graphed is option D. [tex]f(x) = \sqrt{(x+4)}[/tex], the function is translated 4 times horizontally to the left.

How to find the function which was used to make graph?

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

The function is translated horizontally to the left. the base function is [tex]y = \sqrt{x}[/tex].

A. f(x) [tex]\sqrt{(x-5)} + 1[/tex], the graph should be translated horizontally 5 units to the right.

It's not the case and the translated 1 unit vertically.

B. [tex]f(x) = \sqrt{(x-2)}[/tex] the graph should be translated horizontally 2 units to the right. It's not the case.

C. [tex]y = \sqrt{x}[/tex], the graph should start at x=0. It's not the case.

D. [tex]f(x) = \sqrt{(x+4)}[/tex], the function is translated 4 times horizontally to the left. So this is the case.

Therefore, the function graphed is option D. [tex]f(x) = \sqrt{(x+4)}[/tex], the function is translated 4 times horizontally to the left.

Learn more about finding the graphed function here:

https://brainly.com/question/27330212

#SPJ5

Luke rides his bike to his aunt's house. He travels 10 mi/h. Because it starts to rain, Luke's aunt drives him home in a car traveling at 25 mi/h. It takes Luke 1.5 h longer to get to his aunt's house than to return home. How many hours did it take Luke to ride to his aunt's house?

Answers

Answer:

2.5 hours

Step-by-step explanation:

Let t = time in hours for reach friend's house

(t-1.5) = time for friend to drive her home

:

Both trips are the same distance, Write a distance equation from this fact:

Distance = speed * time

Drive distance = Bike distance

Equation-

step1)   25 (t-1.5) = 10t          (here u multiply 25 by t and 25 by 1.5)

step2)  25t - 37.5 = 10t        (move 37.5)          

step3)  25t - 10t = +37.5      (subtract 25t from 10t)

step4)  15t = 37.5                 (divide 37.5 by 15)

step5)  t = 2.5                     (time it took Luke to reach his aunt's house)

Solve this equation 2/3 x - = x - 1

Answers

Answer:

X=1/7

Step-by-step explanation:

Can someone explain?

Answers

87
Because the ratio is 3:7
So we plug in 203 for 7
3:7=?:203
7 goes into 203 29 times
29*3 is
87
it is 87! you put 7 into 203 29 times :))

Help me with this problem please

Answers

you’re solving for y so it would be B

The local school district ordered 755 decks of cards for teachers to use in their math classes. Each deck comes with 52 cards. How many cards are in all of the decks combined?

Answers

Answer:

39,260

Step-by-step explanation:

755 * 52 = 39,260

Answer:

755x52=39260 fhdhdhdhddddndnd

The graph shows the location of point P and point R. Point R is on the y-axis and has the same y-coordinate as point P. Point Q is graphed at (n,-2). The distance from point P to point Q is equal to the distance from point P to point R. What is the from point P to point Q? What is the value of N? Explain how you determined the distance from point P to point Q, and the value of N.

Answers

Answer:

n = 5

Step-by-step explanation:

Coordinate of P = (n,3)

R is on y-axis & the y-coordinate of P & R are equal. So coordinate of R = (3,0)

Coordinate of Q = (n,-2)

Using distance formula,

Distance between P & Q =

[tex] \sqrt{ {( n - n}) ^{2} + {( 3- ( - 2) })^{2} } [/tex]

[tex] = > \sqrt{ {(3 + 2)}^{2} } = \sqrt{ {5}^{2} } = 5[/tex]

Distance between P & R =

[tex] \sqrt{ {(n - 0)}^{2} + {(3 - 3)}^{2} } [/tex]

[tex] = > \sqrt{ {n}^{2} } = n[/tex]

But in question it is given that distance between P & Q is equal to the distance between P & R. So,

[tex]n = 5[/tex]

i need help!
number 14

Answers

Answer:

I’m gonna edit This answer give me a sec to do the work

Step-by-step explanation:

Answer:

1. One Solution

2. No Solution

3. Infinitely Many

Hope this helps :)

What is the value of y?
88

need help

Answers

Answer:

The answer to your question is 44 degrees.  

Step-by-step explanation:

I need the answer to 26. And 27. Please

Answers

Answer:

Below in bold.

Step-by-step explanation:

26.

First convert each mixed number to an improper fraction:

-12 2/3 = -38/3

- 1 1/9 = -10/9

-38/3 = -10/9 * y

y = -38/3 / -10/9

y = -38/3 * -9/10

  = -38 * -3 / 10

  = 114/10

  = 57/5

  = 11 2/5.

27,

1 5/7 = 1 13/14 a

12/7 = 27/14 a

a = 12/7 / 27/14

  =  12/7 * 14/27

  = 24/27

  = 8/9.

 

saleswoman earns 9% commission on all the merchandise that she sells. Last month she sold $8000 worth of merchandise. How much commission (in dollars) did she earn last month?

Answers

Answer:

8720

Step-by-step explanation:

If it's anything like compound / simple interest here's how to do it:

The multiplier for +9% is 1.09

8000 x 1.09 = 8720

The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to the shoreline. Write an equation that represent this graph.

Answers

9514 1404 393

Answer:

  y = -3x +9

Explanation:

What is the frequency of (x) = 4 sin(6 π x) +1

Answers

Answer:

Frequency is 3

Step-by-step explanation:

A sine function repeats in periods and it's frequency can be gotten using:

y(x) = sin(2πfx) where f is the frequency

We are given x = 4sin(6πx) + 1

This can be rewritten as: x = 4sin(3*2πx) + 1

Therefore, our f = 3.

Hence frequency of the sine function is 3.

Which expression is equal to
[tex]\frac{7}{8}[/tex]?
A.7 divided by 8
B.8x7
C.8 divided by 7
D. 7x8

Answers

Answer: A

Step by step explanation:

Tropical Storm Zeta will bring 0.36 in. of rain to New Orleans. Which fraction is equivalent to this amount of rain in inches?

Answers

Answer:

36/100

Step-by-step explanation:

2. If the same ball is dropped from 10 feet and is caught exactly at the highest point after the 25th bounce, what is the
total distance traveled by the ball? Use what you learned from the last problem.
1-

Answers

In linear equation, 1.05 feet  the total distance traveled by the ball.

What are a definition and an example of a linear equation?

A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.

dropped from 10 feet and caught at highest

So ,   10 / 9 = 1

 h = v² / 29  = 0.05 feet

  1 = 0.05 = 1.05 feet

Learn more about linear equation

brainly.com/question/11897796

#SPJ9

ABCD and CDEF are two parallelograms
constructed on both sides of (CD).
Prove that ABFE is a parallelogram.​

Answers

Answer: ABFE is a parallelogram

Step-by-step explanation: If ABCD uses the same angles (AB) as ABFE does this can only mean that they are equal, therefore they are both parallelograms

Hope this Helps :)

Anybody have unwanted pets in adopt me? my only pet isn't for trade​

Answers

Tip: Try taking care of, that pet and make more money to buy eggs to trade or hatch and thats an easy way to get rich if you don't have robux

Step-by-step explanation:

No, sorry. But I have a tip/hack for everyone! (I don't know if it still works)! Get 3 cracked eggs, and 1 royal egg... take care of them all until their last need. Hatch your cracked eggs first, THEN the royal egg last ... there should be a legendary in the royale egg! I tried this two times and I got a legendary each time! <3

Solve the following problem: Find x, y

Answers

Answer:

x=? y=?

Step-by-step explanation:

these two triangles are similar so since the bottom side was 8 and became 10 it added 2 so therefore if you add 2 to the 5 and 7 you get

5+2=7

7+2=9

The value of 'x' is 5/4 and the value of 'y' is 7/4 and this can be determined by using similar triangle properties.

Given :

Two triangles are given in the figure.

The following steps can be used in order to determine the value of 'x' and 'y':

Step 1 - According to the given figure, both the triangles are similar.

Step 2 - So, the value of 'x' and 'y' can be calculated as:

[tex]\dfrac{5}{5+x}=\dfrac{7}{7+y}=\dfrac{8}{10}[/tex]    --- (1)

Step 3 - Now, solve the above equation for 'x'.

[tex]\begin{aligned}\\{\dfrac{5}{5+x}&=\dfrac{8}{10}\\50&=40+8x\\x&=\dfrac{5}{4}\\\end{aligned}[/tex]

Step 4 - Now, solve the equation (1) for 'y'.

[tex]\begin{aligned}\\{\dfrac{7}{7+y}&=\dfrac{8}{10}\\70&=56+8y\\y&=\dfrac{7}{4}\\\end{aligned}[/tex]

The value of 'x' is 5/4 and the value of 'y' is 7/4.

For more information, refer to the link given below:

https://brainly.com/question/10652623

Other Questions
two numbers are 10 units away in different directions from their midpoint, m, on a number line. the product of the numbers is 99. which equation can be used to find m, the midpoint of the two numbers? (m 5)(m 5) Which periodic trend is not explained by shielding and ENC?O Atomic radiusO ENC does not explain any periodic trendO ENC explains all periodic trendsOElectronegativity Simplify 4.5p(2 0.2p).A.9p 0.9p2B. 9p 0.2p2C. 9 0.2p2 D.9 0.9p2show your work when all quantum numbers are considered, how many different quantum states are there for a hydrogen atom with n The prevalence of genetically predisposed traits that have a reproductive advantage is best explained in terms of. frank recently lost his job as a photo lab technician. while he searches for a new occupation, his spaghetti purchases increases. for frank, spaghetti is What causes the changes in protein structure through the three or four levels of structure?. in a right triangle, the longest side opposite the right angle is called the hypotenuse and the other two sides are called ---select--- . 8|x-2|=2 solve for x to find out who is authorized to put a disaster pie into action you would find out about the chain of command An isotope has an atomic number of 36 and contains 44 neutrons. What is the isotopes mass number? A list of needed materials calls for one five-pound pack of deck screws. You have three leftover packs. Two of them are 1/4 full, and the third pack is 1/3 full. Expressed as a fraction, what part of a full 5-pound pack of nails do you have? Brody's age is 3 years less than twice Trinity's age? The sum of their ages is 30. In the circle, BC is a diameter. What is the measure of x? An angle is 134.2 more than the measure of its supplementary angle Gwen has loyalty card for a store that gives her a discount of 5% off the marked price of items. Office Chair $800, Acer Laptop $4580.(a) How much will she pay if she bought the two items above? (b) The store buys the chairs at $1 530 for two. Show whether the store made a profit on the one chair from Gwens Purchase. june is in the middle of a dynamic study module, but she has to leave for a dentist appointment. what should june do to save her progress? A straight wire carrying a 3.00-A current is placed in a uniform magnetic field of magnitude 0.280 T directed perpendicular to the wire. (a) Find the magnitude of the magnetic force on a section of the wire having a length of 14.0cm. 1. Why do you think families with many children were "sent to the left" in the selection process? At a local farmers market, Jose bought a watermelon that weighted 83.2 ounces.Watermelon cost $1.35 per pound There are 16 ounces in a poundHow much did Jose watermelon cost?