22y^2+93y=85

Solution for 22y^2+93y=85 equation:

22y^2+93y=85

We move all terms to the left:

22y^2+93y-(85)=0

a = 22; b = 93; c = -85;
Δ = b2-4ac
Δ = 932-4·22·(-85)
Δ = 16129
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16129}=127$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(93)-127}{2*22}=\frac{-220}{44}
=-5
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(93)+127}{2*22}=\frac{34}{44}
=17/22
$