(6y^2)^(-1)=(1/18)

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Solution for (6y^2)^(-1)=(1/18) equation: 


D( y )

6*y^2 = 0

6*y^2 = 0

6*y^2 = 0

6*y^2 = 0 // : 6

y^2 = 0

y = 0

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

(6*y^2)^-1 = 1/18 // - 1/18

(6*y^2)^-1-(1/18) = 0

(6*y^2)^-1-1/18 = 0

1/6*y^-2 = 1/18 // : 1/6

y^-2 = 1/3

-2 < 0

1/(y^2) = 1/3 // * y^2

1 = 1/3*y^2 // : 1/3

3 = y^2

y^2 = 3 // ^ 1/2

abs(y) = 3^(1/2)

y = 3^(1/2) or y = -3^(1/2)

y in { 3^(1/2), -3^(1/2) }

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