24x^2-22x-30=0

Solution for 24x^2-22x-30=0 equation:

24x^2-22x-30=0

a = 24; b = -22; c = -30;
Δ = b2-4ac
Δ = -222-4·24·(-30)
Δ = 3364
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3364}=58$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-22)-58}{2*24}=\frac{-36}{48}
=-3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-22)+58}{2*24}=\frac{80}{48}
=1+2/3
$