33100=700y-y^2

Solution for 33100=700y-y^2 equation:

33100=700y-y^2

We move all terms to the left:

33100-(700y-y^2)=0

We get rid of parentheses

y^2-700y+33100=0

a = 1; b = -700; c = +33100;
Δ = b2-4ac
Δ = -7002-4·1·33100
Δ = 357600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{357600}=\sqrt{400*894}=\sqrt{400}*\sqrt{894}=20\sqrt{894}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-700)-20\sqrt{894}}{2*1}=\frac{700-20\sqrt{894}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-700)+20\sqrt{894}}{2*1}=\frac{700+20\sqrt{894}}{2}
$