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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

-4/7 < 0

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

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

2 = x^(4/7)

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

x^4 = 128 // ^ 1/4

abs(x) = 2*8^(1/4)

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

x in { 2*8^(1/4), -(2*8^(1/4)) }

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