### Home > INT3 > Chapter Ch1 > Lesson 1.1.3 > Problem1-44

1-44.

Solve each of the following equations. Be sure to check your answers.

1. $\frac{6}{x}=x-1$

Multiply both sides by $x$.

$\frac{6}{x}=x-1$

$x\cdot\frac{6}{x}=(x-1)\cdot x$

$6=x^2-x$

Move all terms to one side.

$0=x^2−x−6$

Factor.

$0=(x+2)(x−3)$

Use the Zero Product Property.

$x=−2$ or $x=3$

1. $\frac{9}{x}=x$

There are two solutions to this equation. One of them is $−3$.