Question

What are the solutions to the equation x? - 8x = 24?1) X= 4+2102) X= 4+2/103) x=4+2124) r=-41212

Answer 1

Simplify the quadratic equation.

`\begin{gathered} x^2-8x=24 \\ x^2-8x-24=0 \end{gathered}`

The value of coefficients are, a = 1, b = -8 and c = -24.

Determine the solutions of equation by using quadratic formula.

`\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}`

So solutions of the equation are,

`4\pm2\sqrt[]{10}`