1/2(x^(-1/2))=1/9

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Solution for 1/2(x^(-1/2))=1/9 equation: 


D( x )

x < 0

x = 0

x < 0

x = 0

x = 0

x in (0:+oo)

(1/2)*x^(-1/2) = 1/9 // - 1/9

(1/2)*x^(-1/2)-(1/9) = 0

(1/2)*x^(-1/2)-1/9 = 0

1/2*x^(-1/2) = 1/9 // : 1/2

x^(-1/2) = 2/9

-1/2 < 0

1/(x^(1/2)) = 2/9 // * x^(1/2)

1 = 2/9*x^(1/2) // : 2/9

9/2 = x^(1/2)

x^(1/2) = 9/2 // ^ 2

x = 81/4

x = 81/4

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