18x2+83x+9=0

Solution for 18x2+83x+9=0 equation:

18x^2+83x+9=0

a = 18; b = 83; c = +9;
Δ = b2-4ac
Δ = 832-4·18·9
Δ = 6241
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6241}=79$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(83)-79}{2*18}=\frac{-162}{36}
=-4+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(83)+79}{2*18}=\frac{-4}{36}
=-1/9
$