Question Use the square roots property to solve the quadratic equation \( (2 q+1)^{2}=9 \). If there are multiple answers, list them separated by a comma, e.g. 1,2 . If there is no solution, enter \( \varnothing \).

To solve the equation \( (2 q + 1)^{2} = 9 \), we first apply the square roots property, which tells us to take the square root of both sides: 1. \( 2 q + 1 = 3 \) or \( 2 q + 1 = -3 \). Now, we'll solve each equation separately: - For \( 2 q + 1 = 3 \): - Subtract 1 from both sides: \( 2 q = 2 \). - Divide both sides by 2: \( q = 1 \). - For \( 2 q + 1 = -3 \): - Subtract 1 from both sides: \( 2 q = -4 \). - Divide both sides by 2: \( q = -2 \). Thus, the solutions are \( q = 1, -2 \).