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1=x+0.5/x
We move all terms to the left:
1-(x+0.5/x)=0
Domain of the equation: x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
-(+x+0.5/x)+1=0
We get rid of parentheses
-x-0.5/x+1=0
We multiply all the terms by the denominator
-x*x+1*x-0.5=0
We add all the numbers together, and all the variables
x-x*x-0.5=0
Wy multiply elements
-1x^2+x-0.5=0
a = -1; b = 1; c = -0.5;
Δ = b2-4ac
Δ = 12-4·(-1)·(-0.5)
Δ = -1
Delta is less than zero, so there is no solution for the equation
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