3x+3/x-3=7

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


D( x )

x = 0

x = 0

x = 0

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

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

3*x+3/x-7-3 = 0

3*x^1+3*x^-1-10*x^0 = 0

(3*x^2-10*x^1+3*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-10*x^1+3*x^0) = 0

x^1

3*x^2-10*x+3 = 0

3*x^2-10*x+3 = 0

DELTA = (-10)^2-(3*3*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)+10)/(2*3) or x = (10-64^(1/2))/(2*3)

x = 3 or x = 1/3

x in { 1/3, 3} 

x in { 1/3, 3 }

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