Question

Solve the equation?

Answer 1

A. p = -4, p = 2.

Explanation:

p^2 + 2p - 8 = 0

Using the quadratic formula;

p = [-2 +/- √(2^2 - 4*1*-8)] / 2

= (-2 +/- √36) / 2

= (-2 +/- 6) / 2

= 4/2 , -8/2

= 2, -4.

Answer 2

A

Explanation:

Given

p² + 2p - 8 = 0 ← in standard form

with a = 1, b = 2, c = - 8

Using the quadratic formula to solve for p

p = ( - 2 ±
`√(2^2-(4(1)(-8)))` / 2

= ( - 2 ±
`√(4+32)` / 2

= ( - 2 ±
`√(36)` ) / 2

p =
`(-2-6)/(2)` =
`(-8)/(2)` = - 4

p =
`(-2+6)/(2)` =
`(4)/(2)` = 2