5x+1/x=6

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Solution for 5x+1/x=6 equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x+1/x = 6 // - 6

5*x+1/x-6 = 0

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

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

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

x^1

5*x^2-6*x+1 = 0

5*x^2-6*x+1 = 0

DELTA = (-6)^2-(1*4*5)

DELTA = 16

DELTA > 0

x = (16^(1/2)+6)/(2*5) or x = (6-16^(1/2))/(2*5)

x = 1 or x = 1/5

x in { 1/5, 1} 

x in { 1/5, 1 }

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