8-m+3=4/m

Solution for 8-m+3=4/m equation:

8-m+3=4/m

We move all terms to the left:

8-m+3-(4/m)=0


Domain of the equation: m)!=0

m!=0/1

m!=0

m∈R


We add all the numbers together, and all the variables

-m-(+4/m)+8+3=0

We add all the numbers together, and all the variables

-1m-(+4/m)+11=0

We get rid of parentheses

-1m-4/m+11=0

We multiply all the terms by the denominator


-1m*m+11*m-4=0

We add all the numbers together, and all the variables

11m-1m*m-4=0

Wy multiply elements

-1m^2+11m-4=0

a = -1; b = 11; c = -4;
Δ = b2-4ac
Δ = 112-4·(-1)·(-4)
Δ = 105
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-\sqrt{105}}{2*-1}=\frac{-11-\sqrt{105}}{-2}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{105}}{2*-1}=\frac{-11+\sqrt{105}}{-2}
$