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1000/x+0.1x=1.49
We move all terms to the left:
1000/x+0.1x-(1.49)=0
Domain of the equation: x!=0We add all the numbers together, and all the variables
x∈R
0.1x+1000/x-1.49=0
We multiply all the terms by the denominator
(0.1x)*x-(1.49)*x+1000=0
We add all the numbers together, and all the variables
(+0.1x)*x-(1.49)*x+1000=0
We multiply parentheses
0x^2-1.49x+1000=0
We add all the numbers together, and all the variables
x^2-1.49x+1000=0
a = 1; b = -1.49; c = +1000;
Δ = b2-4ac
Δ = -1.492-4·1·1000
Δ = -3997.7799
Delta is less than zero, so there is no solution for the equation
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