Question

If | x | = 5 Explain why the expression: x+ 7 has two different solutions

Answer 1

Explanation:

When a number is taken by the square root, it will always come out positive. Looking at |x| = 5, there are two solutions for this that being 5 and -5.

|5| = 5

|-5| = 5

So if we plug those solutions into the expression x + 7, we get two different answers.

5 + 7 = 12

-5 + 7 = 2