SOLUTION: Solve: (1-x)/(2+x) = (x-2)/(x+1)

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Question 1090933: Solve: (1-x)/(2+x) = (x-2)/(x+1)
Answer by ikleyn(53763) About Me  (Show Source):
You can put this solution on YOUR website!
.
Solve: (1-x)/(2+x) = (x-2)/(x+1)
~~~~~~~~~~~~~~~~~~~ 

%281-x%29%2F%282%2Bx%29 = %28x-2%29%2F%28x%2B1%29.


Cross-multiply:


(1-x)*(x+1) = (x-2)*(2+x),

(1-x)*(1+x) = (x-2)*(x+2),

1-x%5E2 = x%5E2-4,

2x%5E2 = 5  ====>  x%5E2 = 5%2F2  ====>  x = +/- sqrt%285%2F2%29 = +/- sqrt%2810%29%2F2.


Answer.  x = +/- sqrt%2810%29%2F2%29.

Solved.