SOLUTION: There are two problems with this one question. {{{((1-x)/(x))=x}}} x= ? + or -?

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Question 16271: There are two problems with this one question. %28%281-x%29%2F%28x%29%29=x x= ? + or -?
Answer by rahman(247) About Me  (Show Source):
You can put this solution on YOUR website!
%28%281-x%29%2F%28x%29%29=x ------------>Multiply by x
1-x=x%5E2
x%5E2%2Bx-1=0
x%5E2%2Bx=1
x%5E2%2Bx%2B1%2F4=1%2B1%2F4
%28x%2B1%2F2%29%5E2=5%2F4
x%2B1%2F2=sqrt%285%2F4%29 or x%2B1%2F2=-sqrt%285%2F4%29
x%2B1%2F2=%281%2F2%29%2Asqrt%285%29 or x%2B1%2F2=-%281%2F2%29%2Asqrt%285%29
x=%281%2F2%29%2Asqrt%285%29-1%2F2 or x=-%281%2F2%29%2Asqrt%285%29-1%2F2
x=%281%2F2%29%28sqrt%285%29-1%29 or x=-%281%2F2%29%28sqrt%285%29%2B1%29