Solve the quadratic equation by using the square root property. (Enter your answers as a comma-separated list.) \[ (x-5)^{2}=7 \] \( x=\square \)

To solve the quadratic equation \((x-5)^{2}=7\), we start by applying the square root property. First, take the square root of both sides: \[ x - 5 = \pm \sqrt{7} \] Now, isolate \(x\) by adding 5 to both sides: \[ x = 5 \pm \sqrt{7} \] This gives us two solutions: \[ x = 5 + \sqrt{7}, \, x = 5 - \sqrt{7} \] So, the final answers are: \( x = 5 + \sqrt{7}, 5 - \sqrt{7} \)