X^2=729,y=729^1/2

Solution for X^2=729,y=729^1/2 equation:

X^2=729.X=729^1/2

We move all terms to the left:

X^2-(729.X)=0

We add all the numbers together, and all the variables

X^2-(+729.X)=0

We get rid of parentheses

X^2-729.X=0

We add all the numbers together, and all the variables

X^2-729X=0

a = 1; b = -729; c = 0;
Δ = b2-4ac
Δ = -7292-4·1·0
Δ = 531441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{531441}=729$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-729)-729}{2*1}=\frac{0}{2}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-729)+729}{2*1}=\frac{1458}{2}
=729
$