24x^2-74x-35=0

Solution for 24x^2-74x-35=0 equation:

24x^2-74x-35=0

a = 24; b = -74; c = -35;
Δ = b2-4ac
Δ = -742-4·24·(-35)
Δ = 8836
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8836}=94$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-74)-94}{2*24}=\frac{-20}{48}
=-5/12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-74)+94}{2*24}=\frac{168}{48}
=3+1/2
$