44x^2-13x-15=0

Solution for 44x^2-13x-15=0 equation:

44x^2-13x-15=0

a = 44; b = -13; c = -15;
Δ = b2-4ac
Δ = -132-4·44·(-15)
Δ = 2809
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2809}=53$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13)-53}{2*44}=\frac{-40}{88}
=-5/11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+53}{2*44}=\frac{66}{88}
=3/4
$