Solve for x:
x^2-x+30 = 0
Subtract 30 from both sides:
x^2-x = -30
Add 1/4 to both sides:
x^2-x+1/4 = -119/4
Write the left hand side as a square:
(x-1/2)^2 = -119/4
Take the square root of both sides:
x-1/2 = (i sqrt(119))/2 or x-1/2 = 1/2 (-i) sqrt(119)
Add 1/2 to both sides:
x = 1/2+(i sqrt(119))/2 or x-1/2 = 1/2 (-i) sqrt(119)
Add 1/2 to both sides:
Answer: | x = 1/2+(i sqrt(119))/2 or x = 1/2-(i sqrt(119))/2
