Question

if the sum of two integers is 0, which of these could be the sum of their squares?​

Answer 1

Answer:

8 can be

Step-by-step explanation:

Two integers whose sum is zero are called additive inverses of each other. They are also called the negatives of each other.

2+-2=0

2^2+2^2=8

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Answer 2

Given,

The sum of two integers is 0.

Solution,

Consider the integers are $\[n\,and\, - n\]$

$\[n + \left( { - n} \right) = 0\]$

Calculate the sum of their squares,

$\[\begin{array}{l} = {n^2} + {\left( { - n} \right)^2}\\ = {n^2} + {n^2}\\ = 2{n^2}\end{array}\]$

Hence the sum of square of integers, whose sum is zero will be two times the square of the integers.