Question

If $x=\frac{1}{x-5}$ ,Solve: $x+\frac{1}{x}=5$

• A. True
• B. False

Answer 1

The correct option is B False

$x=\frac{1}{x-5}\Rightarrow x(x-5)=1\Rightarrow x^2-5x=1\Rightarrow x^2-5x-1=0$

$x+\frac{1}{x}=5\Rightarrow x^2+1=5x\Rightarrow x^2-5x+1=0$

Hence, these equations are not Equal.