(4/x-4)-(3/1-x)=0

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Solution for (4/x-4)-(3/1-x)=0 equation:



(4/x-4)-(3/1-x)=0
Domain of the equation: x-4)!=0
x∈R
Domain of the equation: 1-x)!=0
We move all terms containing x to the left, all other terms to the right
-x)!=-1
x!=-1/1
x!=-1
x∈R
We add all the numbers together, and all the variables
(4/x-4)-(-1x)=0
We get rid of parentheses
4/x+1x-4=0
We multiply all the terms by the denominator
1x*x-4*x+4=0
We add all the numbers together, and all the variables
-4x+1x*x+4=0
Wy multiply elements
x^2-4x+4=0
a = 1; b = -4; c = +4;
Δ = b2-4ac
Δ = -42-4·1·4
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{4}{2}=2$

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