8/x^2=x^3/4

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Solution for 8/x^2=x^3/4 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

8/(x^2) = (x^3)/4 // - (x^3)/4

8/(x^2)-((x^3)/4) = 0

8*x^-2-1/4*x^3 = 0

x^-2*(8-1/4*x^5) = 0

-1/4*x^5 = -8 // : -1/4

x^5 = 32

x^5 = 32 // ^ 1/5

x = 2

1/(x^2) = 0

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

x^-2 = 0

x należy do O

x = 2

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