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0=x+1/x-2
We move all terms to the left:
0-(x+1/x-2)=0
Domain of the equation: x-2)!=0We add all the numbers together, and all the variables
x∈R
-(x+1/x-2)=0
We get rid of parentheses
-x-1/x+2=0
We multiply all the terms by the denominator
-x*x+2*x-1=0
We add all the numbers together, and all the variables
2x-x*x-1=0
Wy multiply elements
-1x^2+2x-1=0
a = -1; b = 2; c = -1;
Δ = b2-4ac
Δ = 22-4·(-1)·(-1)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:$x=\frac{-b}{2a}=\frac{-2}{-2}=1$
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