y^2=330

Solution for y^2=330 equation:

y^2=330

We move all terms to the left:

y^2-(330)=0

a = 1; b = 0; c = -330;
Δ = b2-4ac
Δ = 02-4·1·(-330)
Δ = 1320
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

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