The solutions for the given equation are the values: -6 and 6.
Root
The exponent of a number indicates how many times to use the number in a product. The root is the inverse of a power operation. For example:
[tex]x*x=x^2[/tex] and [tex]\sqrt{x^2}=x[/tex]. See that the square root of a number is the value of power [tex]\frac{1}{2}[/tex] .
Therefore, in this question for finding the value of q, you should apply the square root in both sides.
[tex]36=q^2\\ \\ \sqrt{36} =\sqrt{q^2} \\ \\ \pm 6=q[/tex]
You can check this result applying the power 2. See:
(-6)²=(-6)*(-6)=36
(6)²= (6)*(6)=36
Learn more about the square root here:
https://brainly.com/question/466136
