(4/9)x=6561/256

Solution for (4/9)x=6561/256 equation:

(4/9)x=6561/256

We move all terms to the left:

(4/9)x-(6561/256)=0


Domain of the equation: 9)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+4/9)x-(+6561/256)=0

We multiply parentheses

4x^2-(+6561/256)=0

We get rid of parentheses

4x^2-6561/256=0

We multiply all the terms by the denominator


4x^2*256-6561=0

Wy multiply elements

1024x^2-6561=0

a = 1024; b = 0; c = -6561;
Δ = b2-4ac
Δ = 02-4·1024·(-6561)
Δ = 26873856
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{26873856}=5184$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-5184}{2*1024}=\frac{-5184}{2048}
=-2+17/32
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+5184}{2*1024}=\frac{5184}{2048}
=2+17/32
$