9y^2-y=20

Solution for 9y^2-y=20 equation:

9y^2-y=20

We move all terms to the left:

9y^2-y-(20)=0

We add all the numbers together, and all the variables

9y^2-1y-20=0

a = 9; b = -1; c = -20;
Δ = b2-4ac
Δ = -12-4·9·(-20)
Δ = 721
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{-(-1)-\sqrt{721}}{2*9}=\frac{1-\sqrt{721}}{18}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{721}}{2*9}=\frac{1+\sqrt{721}}{18}
$