Question

Solve this quadratic equation by completing the square x^2-8x+10=0

Answer 1

x = 4 ±
`√(6)`

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 = ±
`√(6)` ( add 4 to both sides )

x = 4 ±
`√(6)` ← exact solutions