60n^2=540

Solution for 60n^2=540 equation:

60n^2=540

We move all terms to the left:

60n^2-(540)=0

a = 60; b = 0; c = -540;
Δ = b2-4ac
Δ = 02-4·60·(-540)
Δ = 129600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{129600}=360$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-360}{2*60}=\frac{-360}{120}
=-3
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+360}{2*60}=\frac{360}{120}
=3
$