Solve for x:
2 x^2 - 9 x + 2 = -1
Divide both sides by 2:
x^2 - (9 x)/2 + 1 = -1/2
Subtract 1 from both sides:
x^2 - (9 x)/2 = -3/2
Add 81/16 to both sides:
x^2 - (9 x)/2 + 81/16 = 57/16
Write the left hand side as a square:
(x - 9/4)^2 = 57/16
Take the square root of both sides:
x - 9/4 = sqrt(57)/4 or x - 9/4 = -sqrt(57)/4
Add 9/4 to both sides:
x = 9/4 + sqrt(57)/4 or x - 9/4 = -sqrt(57)/4
Add 9/4 to both sides:
Answer: x = 9/4 + sqrt(57)/4 or x = 9/4 - sqrt(57)/4
