35y-y^2=304

Solution for 35y-y^2=304 equation:

35y-y^2=304

We move all terms to the left:

35y-y^2-(304)=0

We add all the numbers together, and all the variables

-1y^2+35y-304=0

a = -1; b = 35; c = -304;
Δ = b2-4ac
Δ = 352-4·(-1)·(-304)
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(35)-3}{2*-1}=\frac{-38}{-2}
=+19
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+3}{2*-1}=\frac{-32}{-2}
=+16
$