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 = ± [tex]\sqrt{89}[/tex] ( subtract 9 from both sides )
x = - 9 ± [tex]\sqrt{89}[/tex]
