6x^2-81x-240=0

Solution for 6x^2-81x-240=0 equation:

6x^2-81x-240=0

a = 6; b = -81; c = -240;
Δ = b2-4ac
Δ = -812-4·6·(-240)
Δ = 12321
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12321}=111$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-81)-111}{2*6}=\frac{-30}{12}
=-2+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-81)+111}{2*6}=\frac{192}{12}
=16
$