Question

What number should be added to both sides of the equation to complete the square?
x² – 6x= 5

Answer 1

x = 8.7 or x = 1.3

Explanation:

x² – 6x= 5

(b/2)² = (6/2)² = 9 (Using Completing the square method)

x² – 6x + 9 = 5 + 9

(x -5)² = 14

x-5 = √14

x-5 = ±3.7

Either x-5 =3.7 or x-5 = -3.7

x = 3.7+5 or x = -3.7+5

x = 8.7 or x = 1.3