Answer
$x=\frac{\sqrt{ab}}{a}$
Work Step by Step
To solve for x, isolate x on one side of the equation.
$ax^2-b=0$
Add b to both sides.
$ax^2-b+b=0+b$
Simplify.
$ax^2=b$
Divide both sides by a.
$\frac{ax^2}{a}=\frac{b}{a}$
Simplify.
$x^2=\frac{b}{a}$
Take the square root of each side.
$\sqrt{x^2}=\sqrt{\frac{b}{a}}$
Simplify.
$x=\sqrt{\frac{b}{a}}$
Rationalize the denominator.
$x=\sqrt{\frac{b}{a}}=\frac{\sqrt b}{\sqrt a}=\frac{\sqrt b\times \sqrt a}{\sqrt a\times\sqrt a}=\frac{\sqrt{ab}}{a}$
