(11/3)x=44

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Solution for (11/3)x=44 equation:



(11/3)x=44
We move all terms to the left:
(11/3)x-(44)=0
Domain of the equation: 3)x!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
(+11/3)x-44=0
We multiply parentheses
11x^2-44=0
a = 11; b = 0; c = -44;
Δ = b2-4ac
Δ = 02-4·11·(-44)
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-44}{2*11}=\frac{-44}{22} =-2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+44}{2*11}=\frac{44}{22} =2 $

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