x2=49/729

Solution for x2=49/729 equation:

x2=49/729

We move all terms to the left:

x2-(49/729)=0

We add all the numbers together, and all the variables

x2-(+49/729)=0

We add all the numbers together, and all the variables

x^2-(+49/729)=0

We get rid of parentheses

x^2-49/729=0

We multiply all the terms by the denominator


x^2*729-49=0

Wy multiply elements

729x^2-49=0

a = 729; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·729·(-49)
Δ = 142884
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{142884}=378$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-378}{2*729}=\frac{-378}{1458}
=-7/27
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+378}{2*729}=\frac{378}{1458}
=7/27
$