Answer:
x = - 4 ± [tex]\sqrt{26}[/tex]
Step-by-step explanation:
Given
x² + 8x = 10
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(4)x + 16 = 10 + 16
(x + 4)² = 26 ( take the square root of both sides )
x + 4 = ± [tex]\sqrt{26}[/tex] ( subtract 4 from both sides )
x = - 4 ± [tex]\sqrt{26}[/tex] ← exact solutions
