y^2-44y=495

Solution for y^2-44y=495 equation:

y^2-44y=495

We move all terms to the left:

y^2-44y-(495)=0

a = 1; b = -44; c = -495;
Δ = b2-4ac
Δ = -442-4·1·(-495)
Δ = 3916
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:

$\sqrt{\Delta}=\sqrt{3916}=\sqrt{4*979}=\sqrt{4}*\sqrt{979}=2\sqrt{979}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-2\sqrt{979}}{2*1}=\frac{44-2\sqrt{979}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+2\sqrt{979}}{2*1}=\frac{44+2\sqrt{979}}{2}
$