1/(x^6-5x)

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Solution for 1/(x^6-5x) equation: 


D( x )

x^6-(5*x) = 0

x^6-(5*x) = 0

x^6-(5*x) = 0

x^6-5*x = 0

x^6-5*x = 0

x*(x^5-5) = 0

1*x^5 = 5 // : 1

x^5 = 5

x^5 = 5 // ^ 1/5

x = 5^(1/5)

x = 0

x = 0

x in (-oo:0) U (0:5^(1/5)) U (5^(1/5):+oo)

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

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

x^6-5*x = 0

x*(x^5-5) = 0

1*x^5 = 5 // : 1

x^5 = 5

x^5 = 5 // ^ 1/5

x = 5^(1/5)

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

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

x belongs to the empty set

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