x*x*3=500

Solution for x*x*3=500 equation:

x*x*3=500

We move all terms to the left:

x*x*3-(500)=0

Wy multiply elements

3x^2*3-500=0

Wy multiply elements

9x^2-500=0

a = 9; b = 0; c = -500;
Δ = b2-4ac
Δ = 02-4·9·(-500)
Δ = 18000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{18000}=\sqrt{3600*5}=\sqrt{3600}*\sqrt{5}=60\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{5}}{2*9}=\frac{0-60\sqrt{5}}{18}
=-\frac{60\sqrt{5}}{18}
=-\frac{10\sqrt{5}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{5}}{2*9}=\frac{0+60\sqrt{5}}{18}
=\frac{60\sqrt{5}}{18}
=\frac{10\sqrt{5}}{3}
$