2/x=8x^3

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Solution for 2/x=8x^3 equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x = 8*x^3 // - 8*x^3

2/x-(8*x^3) = 0

2/x-8*x^3 = 0

2*x^-1-8*x^3 = 0

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

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

x^4 = 1/4

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

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

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

2/x = 0

2*x^-1 = 0 // : 2

x^-1 = 0

x należy do O

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

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