3+5x+1/x=4-x

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Solution for 3+5x+1/x=4-x equation: 



3+5x+1/x=4-x

We move all terms to the left:

3+5x+1/x-(4-x)=0



Domain of the equation: x!=0

x∈R



We add all the numbers together, and all the variables

5x+1/x-(-1x+4)+3=0

We get rid of parentheses

5x+1/x+1x-4+3=0

We multiply all the terms by the denominator


5x*x+1x*x-4*x+3*x+1=0

We add all the numbers together, and all the variables

-1x+5x*x+1x*x+1=0

Wy multiply elements

5x^2+x^2-1x+1=0

We add all the numbers together, and all the variables

6x^2-1x+1=0

a = 6; b = -1; c = +1;
Δ = b2-4ac
Δ = -12-4·6·1
Δ = -23
Delta is less than zero, so there is no solution for the equation

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