6x^2=1260

Solution for 6x^2=1260 equation:

6x^2=1260

We move all terms to the left:

6x^2-(1260)=0

a = 6; b = 0; c = -1260;
Δ = b2-4ac
Δ = 02-4·6·(-1260)
Δ = 30240
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:

$\sqrt{\Delta}=\sqrt{30240}=\sqrt{144*210}=\sqrt{144}*\sqrt{210}=12\sqrt{210}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{210}}{2*6}=\frac{0-12\sqrt{210}}{12}
=-\frac{12\sqrt{210}}{12}
=-\sqrt{210}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{210}}{2*6}=\frac{0+12\sqrt{210}}{12}
=\frac{12\sqrt{210}}{12}
=\sqrt{210}
$