SOLUTION: Find Solutions of (1/x-1)=(x+2/4)

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Question 389713: Find Solutions of (1/x-1)=(x+2/4)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find Solutions of (1/x-1)=(x+2/4)
Assume the problem is:
1%2F%28x-1%29 = %28x%2B2%29%2F4
Cross multiply
(x-1)(x+2) = 1 * 4
FOIL
x^2 + 2x - 1x - 2 = 4
x^2 + x - 2 - 4 = 0
x^2 + x - 6 = 0
Factor
(x+3)(x-2) = 0
x = -3
and
x = 2
:
:
Check solutions in original problem
x=-3
1%2F%28-3-1%29 = %28-3%2B2%29%2F4
1%2F%28-4%29 = %28-1%29%2F4
:
You can check the x=2 solution