185y-y^2=6300

Solution for 185y-y^2=6300 equation:

185y-y^2=6300

We move all terms to the left:

185y-y^2-(6300)=0

We add all the numbers together, and all the variables

-1y^2+185y-6300=0

a = -1; b = 185; c = -6300;
Δ = b2-4ac
Δ = 1852-4·(-1)·(-6300)
Δ = 9025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9025}=95$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(185)-95}{2*-1}=\frac{-280}{-2}
=+140
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(185)+95}{2*-1}=\frac{-90}{-2}
=+45
$