x^(-2/7)=(1/4)

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Solution for x^(-2/7)=(1/4) equation: 


D( x )

x = 0

x = 0

x = 0

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

x^(-2/7) = 1/4 // - 1/4

x^(-2/7)-(1/4) = 0

x^(-2/7)-1/4 = 0

1*x^(-2/7) = 1/4 // : 1

x^(-2/7) = 1/4

-2/7 < 0

1/(x^(2/7)) = 1/4 // * x^(2/7)

1 = 1/4*x^(2/7) // : 1/4

4 = x^(2/7)

x^(2/7) = 4 // ^ 7

x^2 = 16384 // ^ 1/2

abs(x) = 128

x = 128 or x = -128

x in { 128, -128 }

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