3x-5/x=2

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Solution for 3x-5/x=2 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(5/x) = 2 // - 2

3*x-(5/x)-2 = 0

3*x-5*x^-1-2 = 0

3*x^1-5*x^-1-2*x^0 = 0

(3*x^2-2*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-2*x^1-5*x^0) = 0

x^1

3*x^2-2*x-5 = 0

3*x^2-2*x-5 = 0

DELTA = (-2)^2-(-5*3*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)+2)/(2*3) or x = (2-64^(1/2))/(2*3)

x = 5/3 or x = -1

x in { -1, 5/3} 

x in { -1, 5/3 }

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