Solve the following equations: 1/x-x/2=5

Solve the following equations:
$\frac{1}{x}+\frac{x}{2}=5$
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Miles Mueller
$\frac{1}{x}+\frac{x}{2}=\frac{5}{1}$, A) Multiply by LCM
$LCM:2x$, B) Common Denominator
$2x\left(\frac{1}{x}+\frac{x}{2}\right)=2x\left(5\right)$
$2+{x}^{2}=10x$
${x}^{2}-10x+2=0,a=1;b=-10;c=2$
$x=\frac{-b±\sqrt{{b}^{2}-4ac}}{2\left(1\right)}$
$=\frac{10±\sqrt{92}}{2}=\frac{10±\sqrt{4\ast 23}}{2}=\frac{10±2\sqrt{23}}{2}=\frac{10}{2}±\frac{2\sqrt{23}}{2}=5±\sqrt{23}$
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Jeffrey Jordon

Answer is given below (on video)