(4/9)x=16

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Solution for (4/9)x=16 equation:



(4/9)x=16
We move all terms to the left:
(4/9)x-(16)=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-16=0
We multiply parentheses
4x^2-16=0
a = 4; b = 0; c = -16;
Δ = b2-4ac
Δ = 02-4·4·(-16)
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16}{2*4}=\frac{-16}{8} =-2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16}{2*4}=\frac{16}{8} =2 $

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