Question

Consider the equation:

22
- 6=2-181
1) Rewrite the equation by completing the square.
Your equation should look like (a + c)? = dor
(ae
- c)?
= d
PLEASE HELP MEEEEEEE

Answer 1

see explanation

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 = ±
`√(89)` ( subtract 9 from both sides )

x = - 9 ±
`√(89)`