# How do you solve 81-1/25x^2=0?

Jan 21, 2017

$81 - \frac{1}{25} {x}^{2} = 0 \implies x = 45$

#### Explanation:

$81 - \frac{1}{25} {x}^{2} = 0$

$\iff$

$81 = \frac{1}{25} {x}^{2}$ add $\frac{1}{25} {x}^{3}$ to both sides

$\iff$

$2025 = {x}^{2}$ Multiply both sides by 25

$\iff$

$\sqrt{2025} = x$ take the square root of both sides

$\iff$

$x = \sqrt{25} \sqrt{81} = 5 \left(9\right) = 45$ Simplify