-3x^2+110=0

Solution for -3x^2+110=0 equation:

-3x^2+110=0

a = -3; b = 0; c = +110;
Δ = b2-4ac
Δ = 02-4·(-3)·110
Δ = 1320
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:

$\sqrt{\Delta}=\sqrt{1320}=\sqrt{4*330}=\sqrt{4}*\sqrt{330}=2\sqrt{330}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{330}}{2*-3}=\frac{0-2\sqrt{330}}{-6}
=-\frac{2\sqrt{330}}{-6}
=-\frac{\sqrt{330}}{-3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{330}}{2*-3}=\frac{0+2\sqrt{330}}{-6}
=\frac{2\sqrt{330}}{-6}
=\frac{\sqrt{330}}{-3}
$