(8/(x^2.5))=0.5

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Solution for (8/(x^2.5))=0.5 equation: 


D( x )

x < 0

x^2.5 = 0

x < 0

x^2.5 = 0

x^2.5 = 0

1*x^2.5 = 0 // : 1

x^2.5 = 0

x = 0

x in (0:+oo)

8/(x^2.5) = 0.5 // - 0.5

8/(x^2.5)-0.5 = 0

8*x^-2.5 = 0.5 // : 8

x^-2.5 = 0.0625

-2.5 < 0

1/(x^2.5) = 0.0625 // * x^2.5

1 = 0.0625*x^2.5 // : 0.0625

16 = x^2.5

x^2 = 16^(1/0.5) // ^ 1/2

abs(x) = 16

x = 16 or x = -16

x in { -16} 

x = 16

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