6x^2-72x-648=0

Solution for 6x^2-72x-648=0 equation:

6x^2-72x-648=0

a = 6; b = -72; c = -648;
Δ = b2-4ac
Δ = -722-4·6·(-648)
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-72)-144}{2*6}=\frac{-72}{12}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-72)+144}{2*6}=\frac{216}{12}
=18
$