2x^(-2/5)=8

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Solution for 2x^(-2/5)=8 equation:


D( x )

x = 0

x = 0

x = 0

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

2*x^(-2/5) = 8 // - 8

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

2*x^(-2/5) = 8 // : 2

x^(-2/5) = 4

-2/5 < 0

1/(x^(2/5)) = 4 // * x^(2/5)

1 = 4*x^(2/5) // : 4

1/4 = x^(2/5)

x^(2/5) = 1/4 // ^ 5

x^2 = 1/1024 // ^ 1/2

abs(x) = 1/32

x = 1/32 or x = -1/32

x in { 1/32, -1/32 }

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