Answers
Answer:
[tex]x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}[/tex]
Step-by-step explanation:
Given;
x² - 2x - 1 = 0
Solve by completing the square method;
⇒ take the constant to the right hand side of the equation.
x² - 2x = 1
⇒ take half of coefficient of x = ¹/₂ x -2 = -1
⇒ square half of coefficient of x and add it to the both sides of the equation
[tex]x^2 + (-1)^2 = 1 + (-1)^2[/tex]
[tex](x-1)^2 = 1 + 1\\\\(x-1)^2 = 2\\\\[/tex]
⇒ take the square root of both sides;
[tex]x-1 = +/- \ \ \sqrt{2} \\\\x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}[/tex]
Therefore, option B is the right solution.
Related Questions
Can y’all help with 2 & 3?
Answers
Which side lengths form a right triangle?
Answers
Answer:
b
Step-by-step explanation:
6^2+8^2=100
sqrt of 100 = 10 so it would form a right triangle
WILL GIVE BRAINLIEST!
Translate into a variable expression.
8 divided by the difference between x and 6
Answers
Answer:
[tex]\frac{8}{x-6}[/tex]
Step-by-step explanation:
8 ÷ x-6
How are geometric sequences similar to arithmetic sequences? How are they different?
Answers
Using m∠ABC, find m∠CAB. Show your work.
you have to open geo cal
Answers
Answer:
The answer is 60
Step-by-step explanation:
m∠CAB = 180° − 90° − 30° = 60°
Plz help, I'll give brainliest
Find the value of x
Answers
Answer:
14.04
Step-by-step explanation:
[tex]19^{2}[/tex] - [tex]17^{2}[/tex] = 72
[tex]\sqrt{72}[/tex] = 8.48
8.48 + 8.48 = 16.96
31 - 16.96 = 14.04
Help me I have a Timer Still
Answers
Blue box: 6.51
Orange box: 9
Factor: x^2 - 4x - 21
Answers
Answer:
(x-7)(x+3) thats the answer for your question
Explain how to convert percent to fractions and percents and decimals
PLEASE YELP IM ON A TEST!!!
Answers
I need help! Quickly, please!
The water level during a long drought fell 7 1/2 feet one year and fell another 5 1/4 feet the next year. What was the total change in the water level for those two years?
A. -12 3/4 ft.
B. 2 1/4 ft.
C. 12 3/4 ft.
D. -2 1/4 ft.
Answers
Answer:
A
Step-by-step explanation:
7 1/2 + 5 1/4 = 12 3/4. But, the problem says the water level fell. So, it's -12 3/4 ft.
Answer:
A. -12 3/4 ft. Is the answer!!
Step-by-step explanation:
is the answer a, b, c, or d ?
Answers
Answer:
C
Step-by-step explanation:
Do i have to explain?
please help me -4< X/3 < 0
Answers
Answer:
−12<x<0
Step-by-step explanation:
Write an equation for the line that passes through (-8.5, 11) and (5, -2.5).
Answers
9514 1404 393
Answer:
y = -x + 5/2
Step-by-step explanation:
The 2-point form of the equation of a line can be useful.
y = (y2 -y1)/(x2 -x1)/(x -x1) +y1
y = (-2.5 -11)/(5 -(-8.5))/(x -(-8.5)) + 11
y = -13.5/13.5(x +8.5) +11 . . . . . . simplify a bit
y = -x +2.5 . . . . . write in slope-intercept form
The expression (3x^7)^4 is equivalent to cx^n.What is the value of c?
Answers
Answer: It’s 81
Step-by-step explanation:
I think it’s 81 because u use the distributive property (xy)^a=x^a y^a
and in the situation you change it into 3^4(x^7)^4 and u simplify 3^4 and get 81 and then just multiply 7 and 4 and your answer is 81x^28. 81 is c in the equation
We want to find an equivalent expression to (3x^7)^4 of the form cx^n, and we want to find the value of c.
The equivalent expression is:
[tex]81*x^{28}[/tex]
So the value of c is:
c = 81.
First, we need to remember two properties of exponents.
The exponents are distributive under multiplications.
And we know that:
[tex](a^n)^m = a^{n*m}[/tex]
Using these two properties, we can rewrite:
[tex](3x^7)^4 = (3^4)*(x^{7*4}) = 81*x^{28}[/tex]
So the equivalent expression is:
[tex]81*x^{28}[/tex]
Then we have c = 81.
If you want to learn more, you can read:
https://brainly.com/question/21213498
You take a bite of a cookie and begin to crush it between your teeth making smaller bits in your mouth.
Physical or Chemical Change?
Facts or Proof?
Answers
Regular hexagons P and Q are shown.
2 cm
6 cm
Q
P
How do the areas of hexagons Pand compare?
O A The area of Pis 3 times the area of Q.
OB. The area of Pis 9 times the area of 0.
OC. The area of Pis 12 times the area of Q.
OD. The area of Pis 18 times the area of Q.
Answers
9514 1404 393
Answer:
B. The area of P is 9 times the area of Q.
Step-by-step explanation:
The areas of similar figures are related by the square of the scale factor of their linear dimensions. The ratio of side lengths is ...
side of P : side of Q = 6 : 2 = 3 : 1
So, the ratio of areas is ...
area of P : area of Q = 3² : 1² = 9 : 1
The area of P is 9 times that of Q.
x/9 = 4/15 solve the following proportions
Answers
Answer:
x = 2.4
Step-by-step explanation:
x*15 = 9 * 4
15x = 9 * 4
15x = 36
x = 2.4
Does the system have one solution, no solution, or infinite
solutions?
8x - 4y = 12
y = 2x - 3
Answers
Answer: infinite solutions
Step-by-step explanation:
If you check on desmos and plugged in both equations on there, you would see that the lines are placed exactly the same/have the same points, making it infinite solutions :)
4. What is the value of the expression that you chose in number 3? *
Answers
Answer:
what is the answer choice
Step-by-step explanation:
(VARIABLES) Please solve these ASAP! I will give brainliest! Thank you
Answers
Answer:
17) (4 x 3) - 2 = 12 - 2 = 10
18) (3 x 2) + (2 x 4) - 3 = (6 + 8) - 3 = 14 - 3= 11
Step-by-step explanation:
Camille's birthday party will cost $32 if she invites 16 guests. How many guests can there be, at most, if Camille can afford to spend a total of $48 on her birthday party? Assume the relationship is directly proportional.
Answers
Answer: 24
Step-by-step explanation:
32/16=2 so it cost 2 per guest.
48/2= 24 guests
Geometric proofs 2.0 i need help on this plz
Answers
2. Given
3. Def. of Midpoint
4. Segment Addition Postulate
5. Addition Property
6. Can’t see statement
Find two different polynomial functions that have a zero at 2 of multiplicity 5 and a zero at 4 of multiplicity 3
Answers
Find two different polynomial functions that have a zero at 2 of multiplicity 5 and a zero at 4 of multiplicity 3
If you are talking about a -4, here you go (If not tell me):
P(x) = (x-2)^5 (x+4)^3
g(x) = (3x-6)^5 (x+4)^3
Hope this helps!
Estimate the value of √2π / √5 .
Answers
Answer:
1.12099824328 or estimated is 1
Step-by-step explanation:
Give branliest if i was right!
Follow the order of operations to simplify 20 - 5 + 3
Answers
HELP ME PLEASE I WILL GIVE YOU BRAINLIEST ANSWER Question 21 of 25
Which of the following is most likely the next step in the series?
A
B.
C.
D.
Answers
Answer:
a ,b d a c b d a d d b c a d b b Step-by-step explanation:
Answer:
The way the diagram shows 1, 2, and 3 or so right, left, right. So the pattern would be 1 is right, 2 is left, 3 is right, so 4 would be left so A
Step-by-step explanation:
Which expression is equivalent to 2(y + 11)
Answers
Please help due today
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simplify 6 (n - 4) - 4n
Answers
someone help on this please
Answers
Answer:
C, D, F
Step-by-step explanation:
Simply put your equations into a free graphing calculator such as
DESMOS
and it's quite simple!
hope this helps!!