12^3-3x^2=0

Solution for 12^3-3x^2=0 equation:

12^3-3x^2=0

We add all the numbers together, and all the variables

-3x^2+1728=0

a = -3; b = 0; c = +1728;
Δ = b2-4ac
Δ = 02-4·(-3)·1728
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{-(0)-144}{2*-3}=\frac{-144}{-6}
=+24
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144}{2*-3}=\frac{144}{-6}
=-24
$