24x^2-31x-15=0

Solution for 24x^2-31x-15=0 equation:

24x^2-31x-15=0

a = 24; b = -31; c = -15;
Δ = b2-4ac
Δ = -312-4·24·(-15)
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{-(-31)-49}{2*24}=\frac{-18}{48}
=-3/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31)+49}{2*24}=\frac{80}{48}
=1+2/3
$