Question

State true or false:

If $\frac{x}{3}+\frac{9}{x}=4$, then $x$ is $3$ or $9$.

• A. True
• B. False

Answer 1

The correct option is A True

$\frac{x}{3}+\frac{9}{x}=4$
$\frac{x^2+27}{3x}=4$
$x^2+27=12x$
$x^2-12x+27=0$
$x^2-9x-3x+27=0$
$(x-9)(x-3)=0$
$x=3,9$