y2=916

Solution for y2=916 equation:

y2=916

We move all terms to the left:

y2-(916)=0

We add all the numbers together, and all the variables

y^2-916=0

a = 1; b = 0; c = -916;
Δ = b2-4ac
Δ = 02-4·1·(-916)
Δ = 3664
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:

$\sqrt{\Delta}=\sqrt{3664}=\sqrt{16*229}=\sqrt{16}*\sqrt{229}=4\sqrt{229}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{229}}{2*1}=\frac{0-4\sqrt{229}}{2}
=-\frac{4\sqrt{229}}{2}
=-2\sqrt{229}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{229}}{2*1}=\frac{0+4\sqrt{229}}{2}
=\frac{4\sqrt{229}}{2}
=2\sqrt{229}
$