3a^2=288

Solution for 3a^2=288 equation:

3a^2=288

We move all terms to the left:

3a^2-(288)=0

a = 3; b = 0; c = -288;
Δ = b2-4ac
Δ = 02-4·3·(-288)
Δ = 3456
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3456}=\sqrt{576*6}=\sqrt{576}*\sqrt{6}=24\sqrt{6}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{6}}{2*3}=\frac{0-24\sqrt{6}}{6}
=-\frac{24\sqrt{6}}{6}
=-4\sqrt{6}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{6}}{2*3}=\frac{0+24\sqrt{6}}{6}
=\frac{24\sqrt{6}}{6}
=4\sqrt{6}
$