Question

Consider the equation:

Answer 1

Answer:

see explanation

Step-by-step explanation:

(1)

x² - 6 = 2 - 18x ( add 18x to both sides )

x² + 18x - 6 = 2 ( add 6 to both sides )

x² + 18x = 8

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(9)x + 81 = 8 + 81

(x + 9)² = 89

(2)

(x + 9)² = 89 ( take square root of both sides )

x + 9 = ± $\sqrt{89}$ ( subtract 9 from both sides )

x = - 9 ± $\sqrt{89}$