270x2=540

Solution for 270x2=540 equation:

270x^2=540

We move all terms to the left:

270x^2-(540)=0

a = 270; b = 0; c = -540;
Δ = b2-4ac
Δ = 02-4·270·(-540)
Δ = 583200
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:

$\sqrt{\Delta}=\sqrt{583200}=\sqrt{291600*2}=\sqrt{291600}*\sqrt{2}=540\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-540\sqrt{2}}{2*270}=\frac{0-540\sqrt{2}}{540}
=-\frac{540\sqrt{2}}{540}
=-\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+540\sqrt{2}}{2*270}=\frac{0+540\sqrt{2}}{540}
=\frac{540\sqrt{2}}{540}
=\sqrt{2}
$