6x^2-7200=0

Solution for 6x^2-7200=0 equation:

6x^2-7200=0

a = 6; b = 0; c = -7200;
Δ = b2-4ac
Δ = 02-4·6·(-7200)
Δ = 172800
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:

$\sqrt{\Delta}=\sqrt{172800}=\sqrt{57600*3}=\sqrt{57600}*\sqrt{3}=240\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240\sqrt{3}}{2*6}=\frac{0-240\sqrt{3}}{12}
=-\frac{240\sqrt{3}}{12}
=-20\sqrt{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240\sqrt{3}}{2*6}=\frac{0+240\sqrt{3}}{12}
=\frac{240\sqrt{3}}{12}
=20\sqrt{3}
$