SOLUTION: (x-4)/(x-2)=(x-2)/(x+2)+(1)/(x-2) A. 6 B.8 C.14 D.Ø, no solution

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Question 328471: (x-4)/(x-2)=(x-2)/(x+2)+(1)/(x-2)
A. 6
B.8
C.14
D.Ø, no solution

Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
(x-4)/(x-2)=(x-2)/(x+2)+(1)/(x-2)
(x-4)/(x-2)-1/(x-2)=(x-2)/(x+2)
(x-4-1)/(x-2)=(x-2)/(x+2)
(x-5)/(x-2)=(x-2)/(x+2) cross multiply.
(x-5)(x+2)=(x-2)^2
x^2-3x-10=x^2-4x+4
x^2-x^2-3x+4x=10+4
x=14 ans. C).

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