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I WILL GIVE BRAINLES PLS ASAP 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

Respuesta :

mhanifa

Answer:

  • D) x = 0; x = −2 is an extraneous solution

Step-by-step explanation:

Given equation:

  • x / 2 = x² /(x - 2)

We can see x = 0 is the solution as it makes both sides equal.

We have a fraction with the denominator of x - 2.

It can't equal to zero since we can't divide by zero:

  • x - 2 = 0
  • x = 2 is an extraneous solution

Correct choice is D

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