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

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


   

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) About Me  (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).