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X+4=3X+5/X-1
We move all terms to the left:
X+4-(3X+5/X-1)=0
Domain of the equation: X-1)!=0We get rid of parentheses
X∈R
X-3X-5/X+1+4=0
We multiply all the terms by the denominator
X*X-3X*X+1*X+4*X-5=0
We add all the numbers together, and all the variables
5X+X*X-3X*X-5=0
Wy multiply elements
X^2-3X^2+5X-5=0
We add all the numbers together, and all the variables
-2X^2+5X-5=0
a = -2; b = 5; c = -5;
Δ = b2-4ac
Δ = 52-4·(-2)·(-5)
Δ = -15
Delta is less than zero, so there is no solution for the equation
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