x2=24/324

Solution for x2=24/324 equation:

x2=24/324

We move all terms to the left:

x2-(24/324)=0

We add all the numbers together, and all the variables

x2-(+24/324)=0

We add all the numbers together, and all the variables

x^2-(+24/324)=0

We get rid of parentheses

x^2-24/324=0

We multiply all the terms by the denominator


x^2*324-24=0

Wy multiply elements

324x^2-24=0

a = 324; b = 0; c = -24;
Δ = b2-4ac
Δ = 02-4·324·(-24)
Δ = 31104
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{31104}=\sqrt{5184*6}=\sqrt{5184}*\sqrt{6}=72\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72\sqrt{6}}{2*324}=\frac{0-72\sqrt{6}}{648}
=-\frac{72\sqrt{6}}{648}
=-\frac{\sqrt{6}}{9}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72\sqrt{6}}{2*324}=\frac{0+72\sqrt{6}}{648}
=\frac{72\sqrt{6}}{648}
=\frac{\sqrt{6}}{9}
$