Question

Solve this quadratic equation by completing the square.

x2 + 8x = 10
A. *--4/10
B. X=-8/26
O c. x= -4/26
O D. x= -8 5/10
SHIMIT

Answer 1

x = - 4 ±
`√(26)`

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 = ±
`√(26)` ( subtract 4 from both sides )

x = - 4 ±
`√(26)` ← exact solutions