245=6x^2

Solution for 245=6x^2 equation:

245=6x^2

We move all terms to the left:

245-(6x^2)=0

a = -6; b = 0; c = +245;
Δ = b2-4ac
Δ = 02-4·(-6)·245
Δ = 5880
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:

$\sqrt{\Delta}=\sqrt{5880}=\sqrt{196*30}=\sqrt{196}*\sqrt{30}=14\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-14\sqrt{30}}{2*-6}=\frac{0-14\sqrt{30}}{-12}
=-\frac{14\sqrt{30}}{-12}
=-\frac{7\sqrt{30}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+14\sqrt{30}}{2*-6}=\frac{0+14\sqrt{30}}{-12}
=\frac{14\sqrt{30}}{-12}
=\frac{7\sqrt{30}}{-6}
$