y2=269

Solution for y2=269 equation:

y2=269

We move all terms to the left:

y2-(269)=0

We add all the numbers together, and all the variables

y^2-269=0

a = 1; b = 0; c = -269;
Δ = b2-4ac
Δ = 02-4·1·(-269)
Δ = 1076
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:

$\sqrt{\Delta}=\sqrt{1076}=\sqrt{4*269}=\sqrt{4}*\sqrt{269}=2\sqrt{269}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{269}}{2*1}=\frac{0-2\sqrt{269}}{2}
=-\frac{2\sqrt{269}}{2}
=-\sqrt{269}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{269}}{2*1}=\frac{0+2\sqrt{269}}{2}
=\frac{2\sqrt{269}}{2}
=\sqrt{269}
$