3x-17=6/x

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Solution for 3x-17=6/x equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-17 = 6/x // - 6/x

3*x-(6/x)-17 = 0

3*x-6*x^-1-17 = 0

3*x^1-6*x^-1-17*x^0 = 0

(3*x^2-17*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-17*x^1-6*x^0) = 0

x^1

3*x^2-17*x-6 = 0

3*x^2-17*x-6 = 0

DELTA = (-17)^2-(-6*3*4)

DELTA = 361

DELTA > 0

x = (361^(1/2)+17)/(2*3) or x = (17-361^(1/2))/(2*3)

x = 6 or x = -1/3

x in { -1/3, 6} 

x in { -1/3, 6 }

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