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

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
$