(5x^-1/x^3)-1

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Solution for (5x^-1/x^3)-1 equation:


D( x )

x^3 = 0

x = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x = 0

x = 0

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

(5*x^-1)/(x^3)-1 = 0

5*x^-4 = 1 // : 5

x^-4 = 1/5

-4 < 0

1/(x^4) = 1/5 // * x^4

1 = 1/5*x^4 // : 1/5

5 = x^4

x^4 = 5 // ^ 1/4

abs(x) = 5^(1/4)

x = 5^(1/4) or x = -5^(1/4)

x in { 5^(1/4), -5^(1/4) }

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