40x^3-20/x

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Solution for 40x^3-20/x equation: 


D( x )

x = 0

x = 0

x = 0

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

40*x^3-(20/x) = 0

40*x^3-20*x^-1 = 0

40*x^3-20*x^-1 = 0

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

2*x^4 = 1 // : 2

x^4 = 1/2

x^4 = 1/2 // ^ 1/4

abs(x) = (1/2)^(1/4)

x = (1/2)^(1/4) or x = -(1/2)^(1/4)

20/x = 0

20*x^-1 = 0 // : 20

x^-1 = 0

x należy do O

x in { (1/2)^(1/4), -(1/2)^(1/4) }

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