3m-3/m+3-m-1/m-2=0

Solution for 3m-3/m+3-m-1/m-2=0 equation:

3m-3/m+3-m-1/m-2=0


Domain of the equation: m!=0

m∈R


We add all the numbers together, and all the variables

2m-3/m-1/m+1=0

We multiply all the terms by the denominator


2m*m+1*m-3-1=0

We add all the numbers together, and all the variables

m+2m*m-4=0

Wy multiply elements

2m^2+m-4=0

a = 2; b = 1; c = -4;
Δ = b2-4ac
Δ = 12-4·2·(-4)
Δ = 33
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{-(1)-\sqrt{33}}{2*2}=\frac{-1-\sqrt{33}}{4}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{33}}{2*2}=\frac{-1+\sqrt{33}}{4}
$