4/m+13-1/3m=4

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Solution for 4/m+13-1/3m=4 equation:



4/m+13-1/3m=4
We move all terms to the left:
4/m+13-1/3m-(4)=0
Domain of the equation: m!=0
m∈R
Domain of the equation: 3m!=0
m!=0/3
m!=0
m∈R
We add all the numbers together, and all the variables
4/m-1/3m+9=0
We calculate fractions
12m/3m^2+(-m)/3m^2+9=0
We add all the numbers together, and all the variables
12m/3m^2+(-1m)/3m^2+9=0
We multiply all the terms by the denominator
12m+(-1m)+9*3m^2=0
Wy multiply elements
27m^2+12m+(-1m)=0
We get rid of parentheses
27m^2+12m-1m=0
We add all the numbers together, and all the variables
27m^2+11m=0
a = 27; b = 11; c = 0;
Δ = b2-4ac
Δ = 112-4·27·0
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-11}{2*27}=\frac{-22}{54} =-11/27 $
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+11}{2*27}=\frac{0}{54} =0 $

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