Question

Can someone explain the steps I’m confused

Answer 1

x = 8 ±
`√(10)`

Explanation:

x² - 16x + 54 = 0 ( subtract 54 from both sides )

x² - 16x = - 54

to complete the square

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

x² + 2(- 8)x + 64 = - 54 + 64

(x - 8)² = 10 ( take the square root of both sides )

x - 8 = ±
`√(10)` ( add 8 to both sides )

x = 8 ±
`√(10)`

then

x = 8 -
`√(10)` , x = 8 +
`√(10)`