5x-1/x

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Solution for 5x-1/x equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x-(1/x) = 0

5*x-x^-1 = 0

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

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

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

x^1

5*x^2-1 = 0

5*x^2-1 = 0

DELTA = 0^2-(-1*4*5)

DELTA = 20

DELTA > 0

x = (20^(1/2)+0)/(2*5) or x = (0-20^(1/2))/(2*5)

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

x in { (-5^(1/2))/5, (1*5^(1/2))/5} 

x in { (-5^(1/2))/5, (1*5^(1/2))/5 }

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