24x^2-71x-30=0

Solution for 24x^2-71x-30=0 equation:

24x^2-71x-30=0

a = 24; b = -71; c = -30;
Δ = b2-4ac
Δ = -712-4·24·(-30)
Δ = 7921
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7921}=89$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-71)-89}{2*24}=\frac{-18}{48}
=-3/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-71)+89}{2*24}=\frac{160}{48}
=3+1/3
$