Question

The first three steps of completing the square to solve the quadratic equation x^2+4x-6=0 are shown below.

Answer 1

Take the sqrt of both sides of (x+2)^2=10:

x+2 = plus or minus sqrt(10)

Solve for x:  x = -2 plus or minus sqrt(10)

Evaluate x:  x = -2 + sqrt(10)  AND  x = -2 - sqrt(10)       (answers)