Question

solve the equation by completing the square
2x^2 = 3x + 1

Answer 1

x=14(3+17√),1/4(3−17√)
x≈1.7808,−0.2808

Answer 2

Unlike SailorGirl's solution which is correct (I'm guessing it was found by the Quadratic Formula), here is how it is done by completing the square:
Divide equation by X²coefficient
x^2 -1.5x = .5
Move non-X term to the right (it is already there)
Take coefficient of x (-1.5) divide by 2 then square it.
-.75² = 0.5625
Add 0.5625 to both sides of the equation
x² -1.5x +0.5625 = 1.0625
Take the square root of both sides of the equation
(x-.75)(x-.75) = 1.0307764064
(x-.75)(x-.75) -1.0307764064 =0
x = .75 -1.0307764064
x = 1.7807764064
Remembering to use the other square root:
x = .75 -1.0307764064
x = -0.2807764064
Yes, it's just that simple - LOL