Question

solve for a.
$5a^2 = 980$
select both solutions.
-14
-196
14
196

Explanation:

Step1: Divide both sides by 5

To isolate \(a^2\), divide each side of the equation \(5a^2 = 980\) by 5. So we have \(\frac{5a^2}{5}=\frac{980}{5}\), which simplifies to \(a^2 = 196\).

Step2: Take square root of both sides

Taking the square root of both sides of \(a^2 = 196\), we get \(a=\pm\sqrt{196}\). Since \(\sqrt{196} = 14\), the solutions are \(a = 14\) and \(a=- 14\).

Answer:

-14, 14