Answer
$\frac{1\pm \sqrt 5}{2}$
Work Step by Step
$x^{2}-x=1$
$x^{2}-x-1=0$
$x=\frac{-(-1)\pm \sqrt ((-1)^{2}-4(1)(-1))}{2}=\frac{1\pm \sqrt 5}{2}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.