4-2m=8+2/m

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Solution for 4-2m=8+2/m equation:



4-2m=8+2/m
We move all terms to the left:
4-2m-(8+2/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
-2m-(2/m+8)+4=0
We get rid of parentheses
-2m-2/m-8+4=0
We multiply all the terms by the denominator
-2m*m-8*m+4*m-2=0
We add all the numbers together, and all the variables
-4m-2m*m-2=0
Wy multiply elements
-2m^2-4m-2=0
a = -2; b = -4; c = -2;
Δ = b2-4ac
Δ = -42-4·(-2)·(-2)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$m=\frac{-b}{2a}=\frac{4}{-4}=-1$

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