729=x^2/3

Solution for 729=x^2/3 equation:

729=x^2/3

We move all terms to the left:

729-(x^2/3)=0

We get rid of parentheses

-x^2/3+729=0

We multiply all the terms by the denominator


-x^2+729*3=0

We add all the numbers together, and all the variables

-1x^2+2187=0

a = -1; b = 0; c = +2187;
Δ = b2-4ac
Δ = 02-4·(-1)·2187
Δ = 8748
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:

$\sqrt{\Delta}=\sqrt{8748}=\sqrt{2916*3}=\sqrt{2916}*\sqrt{3}=54\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-54\sqrt{3}}{2*-1}=\frac{0-54\sqrt{3}}{-2}
=-\frac{54\sqrt{3}}{-2}
=-\frac{27\sqrt{3}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+54\sqrt{3}}{2*-1}=\frac{0+54\sqrt{3}}{-2}
=\frac{54\sqrt{3}}{-2}
=\frac{27\sqrt{3}}{-1}
$