Question

Consider the equation: 6x+55=x^2

1) Rewrite the equation by completing the square.
2) What are the solutions to the equation?

Answer 1

1. x² - 6x + 9 = 55 + 9

x²-6x+9 = 64

2. (x-3)² = 64

x- 3 =+-8

x= 3+8 or 3 -8

x = 11 or 5