9x^2-36x-1728=0

Solution for 9x^2-36x-1728=0 equation:

9x^2-36x-1728=0

a = 9; b = -36; c = -1728;
Δ = b2-4ac
Δ = -362-4·9·(-1728)
Δ = 63504
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{63504}=252$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-252}{2*9}=\frac{-216}{18}
=-12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+252}{2*9}=\frac{288}{18}
=16
$