270=x^2*3

Solution for 270=x^2*3 equation:

270=x^2*3

We move all terms to the left:

270-(x^2*3)=0

We get rid of parentheses

-x^2*3+270=0

Wy multiply elements

-3x^2+270=0

a = -3; b = 0; c = +270;
Δ = b2-4ac
Δ = 02-4·(-3)·270
Δ = 3240
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:

$\sqrt{\Delta}=\sqrt{3240}=\sqrt{324*10}=\sqrt{324}*\sqrt{10}=18\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18\sqrt{10}}{2*-3}=\frac{0-18\sqrt{10}}{-6}
=-\frac{18\sqrt{10}}{-6}
=-\frac{3\sqrt{10}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18\sqrt{10}}{2*-3}=\frac{0+18\sqrt{10}}{-6}
=\frac{18\sqrt{10}}{-6}
=\frac{3\sqrt{10}}{-1}
$