9y^2-y-5=0

Solution for 9y^2-y-5=0 equation:

9y^2-y-5=0

We add all the numbers together, and all the variables

9y^2-1y-5=0

a = 9; b = -1; c = -5;
Δ = b2-4ac
Δ = -12-4·9·(-5)
Δ = 181
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{181}}{2*9}=\frac{1-\sqrt{181}}{18}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{181}}{2*9}=\frac{1+\sqrt{181}}{18}
$