6a^2=1014

Solution for 6a^2=1014 equation:

6a^2=1014

We move all terms to the left:

6a^2-(1014)=0

a = 6; b = 0; c = -1014;
Δ = b2-4ac
Δ = 02-4·6·(-1014)
Δ = 24336
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{24336}=156$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-156}{2*6}=\frac{-156}{12}
=-13
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+156}{2*6}=\frac{156}{12}
=13
$