Question

1/2x^2 - 11^1/2 + 1 = 0
Solve the equation by quadratic formula.

Answer 1

$$\begin{gathered} \frac{1}{2{\mathrm{x}}^2}-{11}^{\frac{1}{2}}+1=0 \\ 1-2\sqrt{11}{\mathrm{x}}^2+2{\mathrm{x}}^2=0 \\ {\mathrm{x}}^2\left(2-2\sqrt{11}\right)+0\mathrm{x}+1=0 \\ \mathrm{Using}\mathrm{quadratic}\mathrm{formula} \\ \mathrm{x}=\frac{0\pm \sqrt{0-4\left(2-2\sqrt{11}\right)}}{2\left(2-2\sqrt{11}\right)}=\pm \frac{2\sqrt{2\sqrt{11}-2}}{2\left(2-2\sqrt{11}\right)}=\frac{\sqrt{2\sqrt{11}-2}}{\left(2-2\sqrt{11}\right)} \end{gathered}$$