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x/x-1=8x+1/x-1
We move all terms to the left:
x/x-1-(8x+1/x-1)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-1)!=0We get rid of parentheses
x∈R
x/x-8x-1/x+1-1=0
Fractions to decimals
-1/x-8x+1-1+1=0
We multiply all the terms by the denominator
-8x*x+1*x-1*x+1*x-1=0
We add all the numbers together, and all the variables
x-8x*x-1=0
Wy multiply elements
-8x^2+x-1=0
a = -8; b = 1; c = -1;
Δ = b2-4ac
Δ = 12-4·(-8)·(-1)
Δ = -31
Delta is less than zero, so there is no solution for the equation
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