(9/x^3-14/x^7)

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Solution for (9/x^3-14/x^7) equation: 


D( x )

x^7 = 0

x^3 = 0

x^7 = 0

x^7 = 0

1*x^7 = 0 // : 1

x^7 = 0

x = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

9/(x^3)-(14/(x^7)) = 0

9/(x^3)-14*x^-7 = 0

9*x^-3-14*x^-7 = 0

x^-3*(9-14*x^-4) = 0

-14*x^-4 = -9 // : -14

x^-4 = 9/14

-4 < 0

1/(x^4) = 9/14 // * x^4

1 = 9/14*x^4 // : 9/14

14/9 = x^4

x^4 = 14/9 // ^ 1/4

abs(x) = (14/9)^(1/4)

x = (14/9)^(1/4) or x = -(14/9)^(1/4)

1/(x^3) = 0

1*x^-3 = 0 // : 1

x^-3 = 0

x należy do O

x in { (14/9)^(1/4), -(14/9)^(1/4) }

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