4x^2-x-3=0

Solve by completing the square.

x = ?

4x^2-x-3=0

let us rewrite the equation in much simplified form:

x^2 - 0.25x - 0.75 = 0

x^2 - 0.25x = 0.75

x^2 - 1/4 x + 1/64 = 3/4 + 1/64

(x-1/8) ^2 = 49/64

x - 1/8 = ± 49/64

x1 = - 3/4

x2 = 1