y2-37.5y+250=0

Solution for y2-37.5y+250=0 equation:

y2-37.5y+250=0

We add all the numbers together, and all the variables

y^2-37.5y+250=0

a = 1; b = -37.5; c = +250;
Δ = b2-4ac
Δ = -37.52-4·1·250
Δ = 406.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37.5)-\sqrt{406.25}}{2*1}=\frac{37.5-\sqrt{406.25}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37.5)+\sqrt{406.25}}{2*1}=\frac{37.5+\sqrt{406.25}}{2}
$