1/x^4=81

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Solution for 1/x^4=81 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)

1/(x^4) = 81 // - 81

1/(x^4)-81 = 0

1*x^-4 = 81 // : 1

x^-4 = 81

-4 < 0

1/(x^4) = 81 // * x^4

1 = 81*x^4 // : 81

1/81 = x^4

x^4 = 1/81 // ^ 1/4

abs(x) = 1/3

x = 1/3 or x = -1/3

x in { 1/3, -1/3 }

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