Answer:
x = 4 ± [tex]\sqrt{6}[/tex]
Step-by-step explanation:
Given
x² - 8x + 10 = 0 ( subtract 10 from both sides )
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 = 6 ( take the square root of both sides )
x - 4 = ± [tex]\sqrt{6}[/tex] ( add 4 to both sides )
x = 4 ± [tex]\sqrt{6}[/tex] ← exact solutions
