Solve the rational equation x divided by 2 equals x squared divided by quantity x minus 2 end quantity, and check for extraneous solutions.

No solution
x = 0 and x = −2
x = −2; x = 0 is an extraneous solution
x = 0; x = −2 is an extraneous solution

Answers

Answer 1

The value of x in the equation [tex]\frac{x}{2} = \frac{x^2}{x - 2}[/tex] are x = 0 and x = -2

How to solve the rational expression?

The expression is given as:

[tex]\frac{x}{2} = \frac{x^2}{x - 2}[/tex]

Cross multiply

[tex]x(x - 2) =2 * x^2[/tex]

Open the bracket

[tex]x^2 - 2x =2x^2[/tex]

Collect like terms

[tex]- 2x =2x^2 - x^2[/tex]

Evaluate the like terms

[tex]- 2x =x^2[/tex]

Rewrite as:

[tex]x^2 + 2x =0[/tex]

Factor out x

x(x + 2)  =0

Expand

x = 0 or x + 2 = 0

Solve for x

x = 0 or x = -2

Hence, the value of x are x = 0 and x = -2

Read more about equations at:

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Answers

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Answers

Answer:

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Step-by-step explanation:

If the area is 56 feet, and the length is 8 feet, we can put this into the area equation.

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Substitute variables.

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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