Question

State true or false:

If $\frac{150}{x-5}-\frac{150}{x}=1$, then $x=30$ or $x=25$.

• A. True
• B. False

Answer 1

The correct option is B False

Given equation is:

$\frac{150}{x-5}-\frac{150}{x}=1$

$150x-150(x-5)=x(x-5)$
$150\times 5=x^2-5x$
$x^2-5x-750=0$
$x^2-30x+25x-750=0$
$(x-30)(x+25)=0$
$\therefore x=30,-25$