Question

Solve 6 over x minus 4 equals 4 over x for x and determine if the solution is extraneous or not.

A) x = −8, extraneous
B) x = −8, non-extraneous
C) x = 8, extraneous
D) x = 8, non-extraneous

Answer 1

The correct answer is B, "x = −8, non-extraneous."

Explanation:

I just got it correct on the test. I hope this helps!

Answer 2

6 over x minus 4 equals 4 over x
6/(x-4) = 4/x
4(x-4) = 6x
4x - 16 = 6x
2x = -16
x = -8

Verify:
6/(-8-4) = 4/-8
6/(-12) = 4/(-8)
-1/2 = -1/2


answer
B) x = −8, non-extraneous