Question

SOLVE EACH Equation by completing the square
1) p2 + 8p - 33 - 0

Answer 1

p = - 11, p = 3

Explanation:

Given

p² + 8p - 33 = 0 ( add 33 to both sides )

p² + 8p = 33

To complete the square

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

p² + 2(4)p + 16 = 33 + 16

(p + 4)² = 49 ( take the square root of both sides )

p + 4 = ±
`√(49)` = ± 7 ( subtract 4 from both sides )

p = - 4 ± 7

Thus

p = - 4 - 7 = - 11

p = - 4 + 7 = 3