# How do you solve the quadratic equation by completing the square: x^2 - 8x = 7?

${x}^{2} - 8 x = 7$
${x}^{2} - 8 x + 16 = 7 + 16$
${\left(x - 4\right)}^{2} = 23 \to \left(x - 4\right) = \pm \sqrt{23}$
$x = \frac{8}{2} \pm \sqrt{23} = 4 \pm \sqrt{23}$