24x^2-101x-144=0

Solution for 24x^2-101x-144=0 equation:

24x^2-101x-144=0

a = 24; b = -101; c = -144;
Δ = b2-4ac
Δ = -1012-4·24·(-144)
Δ = 24025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{24025}=155$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-101)-155}{2*24}=\frac{-54}{48}
=-1+1/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-101)+155}{2*24}=\frac{256}{48}
=5+1/3
$