Question

State true or false:

If $x+\frac{1}{x}=8.125$, then $x=8$ or $x=\frac{1}{8}$.

• A. True
• B. False

Answer 1

The correct option is A True

Given equation is:

$x+\frac{1}{x}=8.125$

$x^2-8.125x+1=0$
$x^2-8x-0.125x+1=0$

$(x-8)(x-0.125)=0$
$\therefore x=8,\frac{1}{8}$