y2=97294

Solution for y2=97294 equation:

y2=97294

We move all terms to the left:

y2-(97294)=0

We add all the numbers together, and all the variables

y^2-97294=0

a = 1; b = 0; c = -97294;
Δ = b2-4ac
Δ = 02-4·1·(-97294)
Δ = 389176
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:

$\sqrt{\Delta}=\sqrt{389176}=\sqrt{4*97294}=\sqrt{4}*\sqrt{97294}=2\sqrt{97294}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{97294}}{2*1}=\frac{0-2\sqrt{97294}}{2}
=-\frac{2\sqrt{97294}}{2}
=-\sqrt{97294}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{97294}}{2*1}=\frac{0+2\sqrt{97294}}{2}
=\frac{2\sqrt{97294}}{2}
=\sqrt{97294}
$