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 \( (2q + 1)^{2} = 9 \), we can use the square roots property. We take the square root of both sides: 1. \( 2q + 1 = 3 \) 2. \( 2q + 1 = -3 \) Now, let's solve both equations separately. For the first equation: \[ 2q + 1 = 3 \] Subtracting 1 from both sides gives us: \[ 2q = 2 \] Dividing both sides by 2 gives us: \[ q = 1 \] For the second equation: \[ 2q + 1 = -3 \] Subtracting 1 from both sides gives us: \[ 2q = -4 \] Dividing both sides by 2 gives us: \[ q = -2 \] Therefore, the solutions are \( 1, -2 \).