36x^2-81x-1008=0

Solution for 36x^2-81x-1008=0 equation:

36x^2-81x-1008=0

a = 36; b = -81; c = -1008;
Δ = b2-4ac
Δ = -812-4·36·(-1008)
Δ = 151713
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{151713}=\sqrt{81*1873}=\sqrt{81}*\sqrt{1873}=9\sqrt{1873}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-81)-9\sqrt{1873}}{2*36}=\frac{81-9\sqrt{1873}}{72}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-81)+9\sqrt{1873}}{2*36}=\frac{81+9\sqrt{1873}}{72}
$