Solve the quadratic equation by using the square-foot property, (Enter your answers as a comma-separated list.) \[ (x-1)^{2}=16 \] \( x=\square \)

1. Start with the given equation: \[ (x-1)^2 = 16 \] 2. Apply the square-root property, which gives two cases: \[ x-1 = \sqrt{16} \quad \text{or} \quad x-1 = -\sqrt{16} \] Since \(\sqrt{16} = 4\), these become: \[ x-1 = 4 \quad \text{or} \quad x-1 = -4 \] 3. Solve each equation separately: - For \(x - 1 = 4\): \[ x = 4 + 1 = 5 \] - For \(x - 1 = -4\): \[ x = -4 + 1 = -3 \] 4. The solutions are: \[ x = 5, -3 \]