1728=2x*x

Solution for 1728=2x*x equation:

1728=2x*x

We move all terms to the left:

1728-(2x*x)=0

We add all the numbers together, and all the variables

-(+2x*x)+1728=0

We get rid of parentheses

-2x*x+1728=0

Wy multiply elements

-2x^2+1728=0

a = -2; b = 0; c = +1728;
Δ = b2-4ac
Δ = 02-4·(-2)·1728
Δ = 13824
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:

$\sqrt{\Delta}=\sqrt{13824}=\sqrt{2304*6}=\sqrt{2304}*\sqrt{6}=48\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{6}}{2*-2}=\frac{0-48\sqrt{6}}{-4}
=-\frac{48\sqrt{6}}{-4}
=-\frac{12\sqrt{6}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{6}}{2*-2}=\frac{0+48\sqrt{6}}{-4}
=\frac{48\sqrt{6}}{-4}
=\frac{12\sqrt{6}}{-1}
$