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5x+9/x-4=5x/x-1
We move all terms to the left:
5x+9/x-4-(5x/x-1)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-1)!=0We get rid of parentheses
x∈R
5x+9/x-5x/x+1-4=0
We multiply all the terms by the denominator
5x*x-5x+1*x-4*x+9=0
We add all the numbers together, and all the variables
-8x+5x*x+9=0
Wy multiply elements
5x^2-8x+9=0
a = 5; b = -8; c = +9;
Δ = b2-4ac
Δ = -82-4·5·9
Δ = -116
Delta is less than zero, so there is no solution for the equation
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