20*x^2=3456

Solution for 20*x^2=3456 equation:

20x^2=3456

We move all terms to the left:

20x^2-(3456)=0

a = 20; b = 0; c = -3456;
Δ = b2-4ac
Δ = 02-4·20·(-3456)
Δ = 276480
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:

$\sqrt{\Delta}=\sqrt{276480}=\sqrt{9216*30}=\sqrt{9216}*\sqrt{30}=96\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-96\sqrt{30}}{2*20}=\frac{0-96\sqrt{30}}{40}
=-\frac{96\sqrt{30}}{40}
=-\frac{12\sqrt{30}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96\sqrt{30}}{2*20}=\frac{0+96\sqrt{30}}{40}
=\frac{96\sqrt{30}}{40}
=\frac{12\sqrt{30}}{5}
$