Solve the quadratic equation by completing the square. attached !

x ≈ 2.76, x ≈ 7.24

Step-by-step explanation:

Given

x² - 10x + 20 = 0 ( subtract 20 from both sides )

x² - 10x = - 20

To complete the square

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

x² + 2( - 5)x + 25 = - 20 + 25

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

x - 5 = ± ( add 5 to both sides )

x = 5 ±

Hence

x = 5 - ≈ 2.76

x = 5 + ≈ 7.24