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18=((0.05-x)(0.1-x))/(x^2)
We move all terms to the left:
18-(((0.05-x)(0.1-x))/(x^2))=0
Domain of the equation: x^2)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
-(((-1x+0.05)(-1x+0.1))/x^2)+18=0
We multiply parentheses ..
-(((+x^2-0.1x-0.05x+0.005))/x^2)+18=0
We multiply all the terms by the denominator
-(((+x^2-0.1x-0.05x+0.005))+18*x^2)=0
We calculate terms in parentheses: -(((+x^2-0.1x-0.05x+0.005))+18*x^2), so:We get rid of parentheses
((+x^2-0.1x-0.05x+0.005))+18*x^2
We add all the numbers together, and all the variables
18x^2+((+x^2-0.1x-0.05x+0.005))
We calculate terms in parentheses: +((+x^2-0.1x-0.05x+0.005)), so:We get rid of parentheses
(+x^2-0.1x-0.05x+0.005)
We get rid of parentheses
x^2-0.1x-0.05x+0.005
We add all the numbers together, and all the variables
x^2-0.15x+0.005
Back to the equation:
+(x^2-0.15x+0.005)
18x^2+x^2-0.15x+0.005
We add all the numbers together, and all the variables
19x^2-0.15x+0.005
Back to the equation:
-(19x^2-0.15x+0.005)
-19x^2+0.15x-0.005=0
a = -19; b = 0.15; c = -0.005;
Δ = b2-4ac
Δ = 0.152-4·(-19)·(-0.005)
Δ = -0.3575
Delta is less than zero, so there is no solution for the equation
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