2x=3-1/x

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Solution for 2x=3-1/x equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

2*x = 3-(1/x) // - 3-(1/x)

2*x+1/x-3 = 0

2*x^1+1*x^-1-3*x^0 = 0

(2*x^2-3*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-3*x^1+1*x^0) = 0

x^1

2*x^2-3*x+1 = 0

2*x^2-3*x+1 = 0

DELTA = (-3)^2-(1*2*4)

DELTA = 1

DELTA > 0

x = (1^(1/2)+3)/(2*2) or x = (3-1^(1/2))/(2*2)

x = 1 or x = 1/2

x in { 1/2, 1} 

x in { 1/2, 1 }

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