x-7/x3

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Solution for x-7/x3 equation: 


D( x )

x^3 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

x-(7/(x^3)) = 0

x-7*x^-3 = 0

x-7*x^-3 = 0

x*(1-7*x^-4) = 0

-7*x^-4 = -1 // : -7

x^-4 = 1/7

-4 < 0

1/(x^4) = 1/7 // * x^4

1 = 1/7*x^4 // : 1/7

7 = x^4

x^4 = 7 // ^ 1/4

abs(x) = 7^(1/4)

x = 7^(1/4) or x = -7^(1/4)

x = 0

x = 0

x in { 0} 

x in { 7^(1/4), -7^(1/4) }

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