36x^2-83x-44=0

Solution for 36x^2-83x-44=0 equation:

36x^2-83x-44=0

a = 36; b = -83; c = -44;
Δ = b2-4ac
Δ = -832-4·36·(-44)
Δ = 13225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13225}=115$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-83)-115}{2*36}=\frac{-32}{72}
=-4/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-83)+115}{2*36}=\frac{198}{72}
=2+3/4
$