4/y^2-1/3=4

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Solution for 4/y^2-1/3=4 equation: 


D( y )

y^2 = 0

y^2 = 0

y^2 = 0

1*y^2 = 0 // : 1

y^2 = 0

y = 0

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

4/(y^2)-(1/3) = 4 // - 4

4/(y^2)-(1/3)-4 = 0

4/(y^2)-1/3-4 = 0

4*y^-2 = 13/3 // : 4

y^-2 = 13/12

-2 < 0

1/(y^2) = 13/12 // * y^2

1 = 13/12*y^2 // : 13/12

12/13 = y^2

y^2 = 12/13 // ^ 1/2

abs(y) = (12/13)^(1/2)

y = (12/13)^(1/2) or y = -(12/13)^(1/2)

y in { (12/13)^(1/2), -(12/13)^(1/2) }

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