3x-14=5/x

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Solution for 3x-14=5/x equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-14 = 5/x // - 5/x

3*x-(5/x)-14 = 0

3*x-5*x^-1-14 = 0

3*x^1-5*x^-1-14*x^0 = 0

(3*x^2-14*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-14*x^1-5*x^0) = 0

x^1

3*x^2-14*x-5 = 0

3*x^2-14*x-5 = 0

DELTA = (-14)^2-(-5*3*4)

DELTA = 256

DELTA > 0

x = (256^(1/2)+14)/(2*3) or x = (14-256^(1/2))/(2*3)

x = 5 or x = -1/3

x in { -1/3, 5} 

x in { -1/3, 5 }

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