Solve for x:
x^2-5 x+3 = 0
Subtract 3 from both sides:
x^2-5 x = -3
Add 25/4 to both sides:
x^2-5 x+25/4 = 13/4
Write the left hand side as a square:
(x-5/2)^2 = 13/4
Take the square root of both sides:
x-5/2 = sqrt(13)/2 or x-5/2 = -sqrt(13)/2
Add 5/2 to both sides:
x = 5/2+sqrt(13)/2 or x-5/2 = -sqrt(13)/2
Add 5/2 to both sides:
Answer: | x = 5/2+sqrt(13)/2 or x = 5/2-sqrt(13)/2
