3x+8/x=14

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Solution for 3x+8/x=14 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x+8/x = 14 // - 14

3*x+8/x-14 = 0

3*x^1+8*x^-1-14*x^0 = 0

(3*x^2-14*x^1+8*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-14*x^1+8*x^0) = 0

x^1

3*x^2-14*x+8 = 0

3*x^2-14*x+8 = 0

DELTA = (-14)^2-(3*4*8)

DELTA = 100

DELTA > 0

x = (100^(1/2)+14)/(2*3) or x = (14-100^(1/2))/(2*3)

x = 4 or x = 2/3

x in { 2/3, 4} 

x in { 2/3, 4 }

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