2k^2-360=0

Solution for 2k^2-360=0 equation:

2k^2-360=0

a = 2; b = 0; c = -360;
Δ = b2-4ac
Δ = 02-4·2·(-360)
Δ = 2880
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2880}=\sqrt{576*5}=\sqrt{576}*\sqrt{5}=24\sqrt{5}$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{5}}{2*2}=\frac{0-24\sqrt{5}}{4}
=-\frac{24\sqrt{5}}{4}
=-6\sqrt{5}
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{5}}{2*2}=\frac{0+24\sqrt{5}}{4}
=\frac{24\sqrt{5}}{4}
=6\sqrt{5}
$