600(x^2/3)=1800

Solution for 600(x^2/3)=1800 equation:

600(x^2/3)=1800

We move all terms to the left:

600(x^2/3)-(1800)=0

We multiply parentheses

600x^2-1800=0

a = 600; b = 0; c = -1800;
Δ = b2-4ac
Δ = 02-4·600·(-1800)
Δ = 4320000
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:

$\sqrt{\Delta}=\sqrt{4320000}=\sqrt{1440000*3}=\sqrt{1440000}*\sqrt{3}=1200\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1200\sqrt{3}}{2*600}=\frac{0-1200\sqrt{3}}{1200}
=-\frac{1200\sqrt{3}}{1200}
=-\sqrt{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1200\sqrt{3}}{2*600}=\frac{0+1200\sqrt{3}}{1200}
=\frac{1200\sqrt{3}}{1200}
=\sqrt{3}
$