x^2=25/729

Solution for x^2=25/729 equation:

x^2=25/729

We move all terms to the left:

x^2-(25/729)=0

We add all the numbers together, and all the variables

x^2-(+25/729)=0

We get rid of parentheses

x^2-25/729=0

We multiply all the terms by the denominator


x^2*729-25=0

Wy multiply elements

729x^2-25=0

a = 729; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·729·(-25)
Δ = 72900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{72900}=270$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-270}{2*729}=\frac{-270}{1458}
=-5/27
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+270}{2*729}=\frac{270}{1458}
=5/27
$