x^2=64/729

Solution for x^2=64/729 equation:

x^2=64/729

We move all terms to the left:

x^2-(64/729)=0

We add all the numbers together, and all the variables

x^2-(+64/729)=0

We get rid of parentheses

x^2-64/729=0

We multiply all the terms by the denominator


x^2*729-64=0

Wy multiply elements

729x^2-64=0

a = 729; b = 0; c = -64;
Δ = b2-4ac
Δ = 02-4·729·(-64)
Δ = 186624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{186624}=432$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-432}{2*729}=\frac{-432}{1458}
=-8/27
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+432}{2*729}=\frac{432}{1458}
=8/27
$