3x+2/x=7

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Solution for 3x+2/x=7 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x+2/x = 7 // - 7

3*x+2/x-7 = 0

3*x^1+2*x^-1-7*x^0 = 0

(3*x^2-7*x^1+2*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-7*x^1+2*x^0) = 0

x^1

3*x^2-7*x+2 = 0

3*x^2-7*x+2 = 0

DELTA = (-7)^2-(2*3*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)+7)/(2*3) or x = (7-25^(1/2))/(2*3)

x = 2 or x = 1/3

x in { 1/3, 2} 

x in { 1/3, 2 }

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