18x^2+85x+18=0

Solution for 18x^2+85x+18=0 equation:

18x^2+85x+18=0

a = 18; b = 85; c = +18;
Δ = b2-4ac
Δ = 852-4·18·18
Δ = 5929
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5929}=77$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(85)-77}{2*18}=\frac{-162}{36}
=-4+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(85)+77}{2*18}=\frac{-8}{36}
=-2/9
$