9x^2-24x-105=0

Solution for 9x^2-24x-105=0 equation:

9x^2-24x-105=0

a = 9; b = -24; c = -105;
Δ = b2-4ac
Δ = -242-4·9·(-105)
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-66}{2*9}=\frac{-42}{18}
=-2+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+66}{2*9}=\frac{90}{18}
=5
$