(16-(9x)^2)^1.5/(x^6)

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Solution for (16-(9x)^2)^1.5/(x^6) equation: 


D( x )

16-(9*x)^2 < 0

x^6 = 0

16-(9*x)^2 < 0

16-(9*x)^2 < 0

-81*x^2 < -16

-81*x^2 < -16 // * -1

81*x^2 > 16

81*x^2 > 16 // : 81

x^2 > 16/81

x^2 > 16/81 // ^ 1/2

abs(x) > 4/9

x in (-oo:-4/9) U (4/9:+oo)

x^6 = 0

x^6 = 0

1*x^6 = 0 // : 1

x^6 = 0

x = 0

x in <-4/9:0) U (0:4/9>

((16-(9*x)^2)^1.5)/(x^6) = 0

((16-81*x^2)^1.5)/(x^6) = 0

-81*x^2 = -16 // : -81

x^2 = 16/81

x^2 = 16/81 // ^ 1/2

abs(x) = 4/9

x = 4/9 or x = -4/9

x in { 4/9, -4/9 }

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