Question

(p+2)² = (p-5)² ......................

Answer 1

Your. Answer ........

In attachement. ..

Answer 2

Annyeong... :)

$({p + 2)}^{2} = ( {p + 5)}^{2}$

first , expanding ( p+2)^2

$( {p + 2)}^{2} \\ \\ = {p}^{2} + {2}^{2} + 2 \times 2 \times p \\ \\ = {p}^{2} + 4 + 4p \: \: \: \: \: \:$

equation 1. - (p^2 + 4 + 4p)

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now,

(p-5)^2

$({p - 5)}^{2} \\ \\ = {p}^{2} + {5}^{2} - 2 \times 5 \times p \\ \\ = {p}^{2} + 25 - 10p$

so,

our second equation is (p^2 + 25 - 10p)

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now,

by combining them...

${p}^{2} + 4 + 4p = {p}^{2} + 25 - 10p \\ \\ 4p + 4 = 25 - 10p \\ \\4p + 10p = 25 - 4 \\ \\ 14p = 21 \\ \\ p = \frac{21}{14}$

so,

the value of p is 21/14 or 3/2