18y^2+87y+77=0

Solution for 18y^2+87y+77=0 equation:

18y^2+87y+77=0

a = 18; b = 87; c = +77;
Δ = b2-4ac
Δ = 872-4·18·77
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(87)-45}{2*18}=\frac{-132}{36}
=-3+2/3
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(87)+45}{2*18}=\frac{-42}{36}
=-1+1/6
$