5x^2-39x-44=0

Solution for 5x^2-39x-44=0 equation:

5x^2-39x-44=0

a = 5; b = -39; c = -44;
Δ = b2-4ac
Δ = -392-4·5·(-44)
Δ = 2401
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2401}=49$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-39)-49}{2*5}=\frac{-10}{10}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-39)+49}{2*5}=\frac{88}{10}
=8+4/5
$