x/2+1/x^4

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Solution for x/2+1/x^4 equation: 


D( x )

x^4 = 0

x^4 = 0

x^4 = 0

1*x^4 = 0 // : 1

x^4 = 0

x = 0

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

x/2+1/(x^4) = 0

1/2*x+x^-4 = 0

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

1*x^-5 = -1/2 // : 1

x^-5 = -1/2

-5 < 0

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

1 = -1/2*x^5 // : -1/2

-2 = x^5

x^5 = -2 // ^ 1/5

x = -2^(1/5)

x = 0

x = 0

x in { 0} 

x = -2^(1/5)

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