y2=374

Solution for y2=374 equation:

y2=374

We move all terms to the left:

y2-(374)=0

We add all the numbers together, and all the variables

y^2-374=0

a = 1; b = 0; c = -374;
Δ = b2-4ac
Δ = 02-4·1·(-374)
Δ = 1496
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:

$\sqrt{\Delta}=\sqrt{1496}=\sqrt{4*374}=\sqrt{4}*\sqrt{374}=2\sqrt{374}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{374}}{2*1}=\frac{0-2\sqrt{374}}{2}
=-\frac{2\sqrt{374}}{2}
=-\sqrt{374}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{374}}{2*1}=\frac{0+2\sqrt{374}}{2}
=\frac{2\sqrt{374}}{2}
=\sqrt{374}
$