Question

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

Answer 1

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

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