3x^2=1872

Solution for 3x^2=1872 equation:

3x^2=1872

We move all terms to the left:

3x^2-(1872)=0

a = 3; b = 0; c = -1872;
Δ = b2-4ac
Δ = 02-4·3·(-1872)
Δ = 22464
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:

$\sqrt{\Delta}=\sqrt{22464}=\sqrt{576*39}=\sqrt{576}*\sqrt{39}=24\sqrt{39}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{39}}{2*3}=\frac{0-24\sqrt{39}}{6}
=-\frac{24\sqrt{39}}{6}
=-4\sqrt{39}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{39}}{2*3}=\frac{0+24\sqrt{39}}{6}
=\frac{24\sqrt{39}}{6}
=4\sqrt{39}
$