Simplify the quadratic equation.
[tex]\begin{gathered} x^2-8x=24 \\ x^2-8x-24=0 \end{gathered}[/tex]The value of coefficients are, a = 1, b = -8 and c = -24.
Determine the solutions of equation by using quadratic formula.
[tex]\begin{gathered} x=\frac{-(-8)\pm\sqrt[]{(-8)^2-4\cdot(1)\cdot(-24)}}{2\cdot1} \\ =\frac{8\pm\sqrt[]{64+96}}{2} \\ =\frac{8\pm\sqrt[]{160}}{2} \\ =\frac{8\pm\sqrt[]{4\cdot4\cdot10}}{2} \\ =\frac{2(4\pm2\sqrt[]{10})}{2} \\ =4\pm2\sqrt[]{10} \end{gathered}[/tex]So solutions of the equation are,
[tex]4\pm2\sqrt[]{10}[/tex]
