6x2=7776

Solution for 6x2=7776 equation:

6x^2=7776

We move all terms to the left:

6x^2-(7776)=0

a = 6; b = 0; c = -7776;
Δ = b2-4ac
Δ = 02-4·6·(-7776)
Δ = 186624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{186624}=432$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-432}{2*6}=\frac{-432}{12}
=-36
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+432}{2*6}=\frac{432}{12}
=36
$