y2=676

Solution for y2=676 equation:

y2=676

We move all terms to the left:

y2-(676)=0

We add all the numbers together, and all the variables

y^2-676=0

a = 1; b = 0; c = -676;
Δ = b2-4ac
Δ = 02-4·1·(-676)
Δ = 2704
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2704}=52$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-52}{2*1}=\frac{-52}{2}
=-26
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+52}{2*1}=\frac{52}{2}
=26
$