Hi guys, can you me with this?
> > given that,

where p and q are integers, find the values of p and q.
answer should be: + or - 4 and + or - 16
can i have the step by step explanation? : )

see explanation

Step-by-step explanation:

Expand the right side and then compare like terms with the left side.

(q + 2 )²

= q² + 4q + 12

= q² + 12 + 4q

Compare like terms with 28 + p

Comparing the terms gives

p = 4q

and comparing the constant terms gives

q² + 12 = 28 ( subtract 12 from both sides )

q² = 16 ( take the square root of both sides )

q = ± = ± 4

Hence

p = 4q = 4 × ± 4 = ± 16

step-by-step explanation: