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4=2x+6/x-1
We move all terms to the left:
4-(2x+6/x-1)=0
Domain of the equation: x-1)!=0We get rid of parentheses
x∈R
-2x-6/x+1+4=0
We multiply all the terms by the denominator
-2x*x+1*x+4*x-6=0
We add all the numbers together, and all the variables
5x-2x*x-6=0
Wy multiply elements
-2x^2+5x-6=0
a = -2; b = 5; c = -6;
Δ = b2-4ac
Δ = 52-4·(-2)·(-6)
Δ = -23
Delta is less than zero, so there is no solution for the equation
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