Question

X2 + 8 ÷ 6= x says to solve

Answer 1

`x^2+(8)/(6)=x`

Rewrite the equation as:

`x^2-x+(8)/(6)=0`

Let's use quadratic formula:

`x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}`

Where:

a = 1

b = -1

c= 8/6

`\begin{gathered} x=\frac{-(-1)\pm\sqrt[]{(-1)^2-4(1)((8)/(6))}}{2(1)} \\ \\ x=\frac{1\pm\sqrt[]{1-(16)/(3)}}{2} \\ \\ x=\frac{1\pm\sqrt[]{-(13)/(3)}}{2} \\ \\ x=\frac{1\pm\frac{\sqrt[]{39}}{3}i}{2} \\ \\ \end{gathered}`

Simplify:

`\begin{gathered} x=(1)/(6)(3-i\sqrt[]{39}) \\ or \\ x=(1)/(6)(3+i\sqrt[]{39}) \end{gathered}`