Question

if x= - 2 is a solution of the equation x^2= - 2 + px + 8 = 0 what is the value of p​

Answer 1

Step-by-step explanation:

$given \: \: x = - 2 \\ {x}^{2} = - 2 + px + 8 = 0 \\ - x {}^{2} - 2 + px + 8 = \\ - ( - 2) {}^{2} - 2 + p( - 2) + 8 = 0 \\ - 4 - 2 - 2p + 8 = 0 \\ - 6 + 8 - 2p = 0 \\ 2 - 2p = 0 \\ 2 = 2p \\ \frac{2}{2} = p \\ \\ 1 = p$

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Answer 2

Answer:

4

Step-by-step explanation:

-2+px +8=0

p=-2+-2+8

p= -4+8

p= 4