Question

The possible values of x in the equation x^2-3/4x=-1/4 are ___plus or minus ____

Answer 1

3/8 plus or minus i(√7)/8

Explanation:

Complete the square by adding (3/8)^2 to both sides of the equation:

(x -3/8)^2 = -1/4 + (3/8)^2 = -16/64 +9/64

x -3/8 = ±i√(7/64) . . . . . take the square root

x = 3/8 ± i(√7)/8 . . . . . . add 3/8