y^2-3y=550

Solution for y^2-3y=550 equation:

y^2-3y=550

We move all terms to the left:

y^2-3y-(550)=0

a = 1; b = -3; c = -550;
Δ = b2-4ac
Δ = -32-4·1·(-550)
Δ = 2209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2209}=47$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-47}{2*1}=\frac{-44}{2}
=-22
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+47}{2*1}=\frac{50}{2}
=25
$