x^2=12420/6

Solution for x^2=12420/6 equation:

x^2=12420/6

We move all terms to the left:

x^2-(12420/6)=0

We add all the numbers together, and all the variables

x^2-2070=0

a = 1; b = 0; c = -2070;
Δ = b2-4ac
Δ = 02-4·1·(-2070)
Δ = 8280
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:

$\sqrt{\Delta}=\sqrt{8280}=\sqrt{36*230}=\sqrt{36}*\sqrt{230}=6\sqrt{230}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{230}}{2*1}=\frac{0-6\sqrt{230}}{2}
=-\frac{6\sqrt{230}}{2}
=-3\sqrt{230}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{230}}{2*1}=\frac{0+6\sqrt{230}}{2}
=\frac{6\sqrt{230}}{2}
=3\sqrt{230}
$