6x^2=784

Solution for 6x^2=784 equation:

6x^2=784

We move all terms to the left:

6x^2-(784)=0

a = 6; b = 0; c = -784;
Δ = b2-4ac
Δ = 02-4·6·(-784)
Δ = 18816
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:

$\sqrt{\Delta}=\sqrt{18816}=\sqrt{3136*6}=\sqrt{3136}*\sqrt{6}=56\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-56\sqrt{6}}{2*6}=\frac{0-56\sqrt{6}}{12}
=-\frac{56\sqrt{6}}{12}
=-\frac{14\sqrt{6}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+56\sqrt{6}}{2*6}=\frac{0+56\sqrt{6}}{12}
=\frac{56\sqrt{6}}{12}
=\frac{14\sqrt{6}}{3}
$