6a2=324

Solution for 6a2=324 equation:

6a^2=324

We move all terms to the left:

6a^2-(324)=0

a = 6; b = 0; c = -324;
Δ = b2-4ac
Δ = 02-4·6·(-324)
Δ = 7776
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:

$\sqrt{\Delta}=\sqrt{7776}=\sqrt{1296*6}=\sqrt{1296}*\sqrt{6}=36\sqrt{6}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36\sqrt{6}}{2*6}=\frac{0-36\sqrt{6}}{12}
=-\frac{36\sqrt{6}}{12}
=-3\sqrt{6}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36\sqrt{6}}{2*6}=\frac{0+36\sqrt{6}}{12}
=\frac{36\sqrt{6}}{12}
=3\sqrt{6}
$