Enter the correct answer in the box. Solve the equation by completing the square. x^2 − 10x + 26 = 8

x = 5 ±

Step-by-step explanation:

Given

x² - 10x + 26 = 8 ( subtract 26 from both sides )

x² - 10x = - 18

To complete the square

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

x² + 2(- 5)x + 25 = - 18 + 25

(x - 5)² = 7 ( take the square root of both sides )

x - 5 = ± ( add 5 to both sides )

x = 5 ± ← exact solutions

Step-by-step explanation: