6x+29=5/x

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Solution for 6x+29=5/x equation: 


D( x )

x = 0

x = 0

x = 0

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

6*x+29 = 5/x // - 5/x

6*x-(5/x)+29 = 0

6*x-5*x^-1+29 = 0

6*x^1-5*x^-1+29*x^0 = 0

(6*x^2+29*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2+29*x^1-5*x^0) = 0

x^1

6*x^2+29*x-5 = 0

6*x^2+29*x-5 = 0

DELTA = 29^2-(-5*4*6)

DELTA = 961

DELTA > 0

x = (961^(1/2)-29)/(2*6) or x = (-961^(1/2)-29)/(2*6)

x = 1/6 or x = -5

x in { -5, 1/6} 

x in { -5, 1/6 }

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