6x^2=1200

Solution for 6x^2=1200 equation:

6x^2=1200

We move all terms to the left:

6x^2-(1200)=0

a = 6; b = 0; c = -1200;
Δ = b2-4ac
Δ = 02-4·6·(-1200)
Δ = 28800
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:

$\sqrt{\Delta}=\sqrt{28800}=\sqrt{14400*2}=\sqrt{14400}*\sqrt{2}=120\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120\sqrt{2}}{2*6}=\frac{0-120\sqrt{2}}{12}
=-\frac{120\sqrt{2}}{12}
=-10\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120\sqrt{2}}{2*6}=\frac{0+120\sqrt{2}}{12}
=\frac{120\sqrt{2}}{12}
=10\sqrt{2}
$