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

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: There are two problems with this one question. {{{((1-x)/(x))=x}}} x= __ + or -__      Log On


   

Question 16287: There are two problems with this one question. %28%281-x%29%2F%28x%29%29=x x= __ + or -__
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
%281+-+x%29%2Fx+=+x Multiply both sides by x
1-x+=+x%5E2 Add x to both sides.
1+=+x%5E2+%2B+x Subtract 1 from both sides.
0+=+x%5E2+%2B+x+-+1 Solve this quadratic equation using the quadratic formula: x+=+%28-b%2B-sqrt%28b%5E2+-+4ac%29%29%2F2a
x+=+%28-1+%2B-sqrt%281%5E2+-+4%281%29%28-1%29%29%29%2F2%281%29
x+=+%28-1%2B-sqrt%285%29%29%2F2
x = -1%2F2+ or -%281%2F2%29sqrt%285%29