((y^2/13)-(13/y^2))^2

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Solution for ((y^2/13)-(13/y^2))^2 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)

((y^2)/13-(13/(y^2)))^2 = 0

((y^2)/13-13*y^-2)^2 = 0

(1/13*y^2-13*y^-2)^2 = 0

1/13*y^2-13*y^-2 = 0

y^-2*(1/13*y^4-13) = 0

1/13*y^4 = 13 // : 1/13

y^4 = 169

y^4 = 169 // ^ 1/4

abs(y) = 169^(1/4)

y = 169^(1/4) or y = -169^(1/4)

y^-2*(y-169^(1/4))*(y+169^(1/4)) = 0

(y^-2)^2*(y-169^(1/4))^2*(y+169^(1/4))^2 = 0

( y+169^(1/4) )

y+169^(1/4) = 0 // - 169^(1/4)

y = -169^(1/4)

( y-169^(1/4) )

y-169^(1/4) = 0 // + 169^(1/4)

y = 169^(1/4)

( y^-2 )

1*y^-2 = 0 // : 1

y^-2 = 0

y należy do O

y in { -169^(1/4), -169^(1/4), 169^(1/4), 169^(1/4) }

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