x2=25/324

Solution for x2=25/324 equation:

x2=25/324

We move all terms to the left:

x2-(25/324)=0

We add all the numbers together, and all the variables

x2-(+25/324)=0

We add all the numbers together, and all the variables

x^2-(+25/324)=0

We get rid of parentheses

x^2-25/324=0

We multiply all the terms by the denominator


x^2*324-25=0

Wy multiply elements

324x^2-25=0

a = 324; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·324·(-25)
Δ = 32400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{32400}=180$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-180}{2*324}=\frac{-180}{648}
=-5/18
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+180}{2*324}=\frac{180}{648}
=5/18
$