X^-2/5=1/16

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Solution for X^-2/5=1/16 equation: 


D( X )

X = 0

X = 0

X = 0

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

(X^-2)/5 = 1/16 // - 1/16

(X^-2)/5-(1/16) = 0

(X^-2)/5-1/16 = 0

1/5*X^-2 = 1/16 // : 1/5

X^-2 = 5/16

-2 < 0

1/(X^2) = 5/16 // * X^2

1 = 5/16*X^2 // : 5/16

16/5 = X^2

X^2 = 16/5 // ^ 1/2

abs(X) = (16/5)^(1/2)

X = (16/5)^(1/2) or X = -(16/5)^(1/2)

X in { (16/5)^(1/2), -(16/5)^(1/2) }

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