972-3x^2=0

Solution for 972-3x^2=0 equation:

972-3x^2=0

a = -3; b = 0; c = +972;
Δ = b2-4ac
Δ = 02-4·(-3)·972
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-108}{2*-3}=\frac{-108}{-6}
=+18
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+108}{2*-3}=\frac{108}{-6}
=-18
$