SOLUTION: Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2-x=1

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2-x=1      Log On


   

Question 854980: Solve the equation by completing the square. Round to the nearest hundredth if necessary.
x^2-x=1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation by completing the square. Round to the nearest hundredth if necessary.
x^2-x=1
(x^2-x+1/4)=1+1/4
(x-1/2)^2=5/4
take sqrt of both sides
x-1/2=±√5/2
x=1/2±√5/2
x=(1+√5)/2
or
x=(1-√5)/2