3x-5/x=-14

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


D( x )

x = 0

x = 0

x = 0

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

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

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

x = 1/3 or x = -5

x in { -5, 1/3} 

x in { -5, 1/3 }

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