Solve for x:
x^2-x = 3
Add 1/4 to both sides:
x^2-x+1/4 = 13/4
Write the left hand side as a square:
(x-1/2)^2 = 13/4
Take the square root of both sides:
x-1/2 = sqrt(13)/2 or x-1/2 = -sqrt(13)/2
Add 1/2 to both sides:
x = 1/2+sqrt(13)/2 or x-1/2 = -sqrt(13)/2
Add 1/2 to both sides:
Answer: | x = 1/2+sqrt(13)/2 or x = 1/2-sqrt(13)/2
