(x)3/8=67/x

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Solution for (x)3/8=67/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(x^3)/8 = 67/x // - 67/x

(x^3)/8-(67/x) = 0

(x^3)/8-67*x^-1 = 0

1/8*x^3-67*x^-1 = 0

x^-1*(1/8*x^4-67) = 0

1/8*x^4 = 67 // : 1/8

x^4 = 536

x^4 = 536 // ^ 1/4

abs(x) = 536^(1/4)

x = 536^(1/4) or x = -536^(1/4)

1/x = 0

1*x^-1 = 0 // : 1

x^-1 = 0

x należy do O

x in { 536^(1/4), -536^(1/4) }

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