y2-37y+300=0

Solution for y2-37y+300=0 equation:

y2-37y+300=0

We add all the numbers together, and all the variables

y^2-37y+300=0

a = 1; b = -37; c = +300;
Δ = b2-4ac
Δ = -372-4·1·300
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-13}{2*1}=\frac{24}{2}
=12
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+13}{2*1}=\frac{50}{2}
=25
$