Question

x square 8 square barabar 180

Answer 1

Given equation is $x^2 8^2=180$

In order to solve for x, we need to isolate x

so first we divide both side by 8^2

$\frac{x^2 8^2}{8^2}=\frac{180}{8^2}$

$x^2=\frac{180}{8^2}$

$x^2=\frac{180}{64}$

divide both side by 4 to simplify the fraction

$x^2=\frac{45}{16}$

Now we need to remove the square from the left side

so we will take square root of both sides

$x=\pm \sqrt{\frac{45}{16}}$

$x=\pm \frac{\sqrt{45}}{\sqrt{16}}$

$x=\pm \frac{3\sqrt{5}}{4}$

Hence final answer is $x=\pm \frac{3\sqrt{5}}{4}$.