Question

solve for q. 25 = q² q = or

Explanation:

Step1: Take square root of both sides

To solve for \( q \) in the equation \( 25 = q^2 \), we take the square root of both sides. Remember that when we take the square root of a number, we consider both the positive and negative roots because \( (\pm a)^2=a^2 \). So we have \( \sqrt{25}=\sqrt{q^2} \).

Step2: Simplify the square roots

We know that \( \sqrt{25} = 5 \) and \( \sqrt{q^2}=\vert q\vert \), but since we are solving for \( q \) and we have \( \pm\sqrt{25}=q \), substituting the value of \( \sqrt{25} \) which is 5, we get \( q = 5 \) or \( q=- 5 \).

Answer:

\( q = 5 \) or \( q=-5 \)