(5x)-2/x9

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Solution for (5x)-2/x9 equation:


D( x )

x^9 = 0

x^9 = 0

x^9 = 0

1*x^9 = 0 // : 1

x^9 = 0

x = 0

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

5*x-(2/(x^9)) = 0

5*x-2*x^-9 = 0

5*x-2*x^-9 = 0

x*(5-2*x^-10) = 0

-2*x^-10 = -5 // : -2

x^-10 = 5/2

-10 < 0

1/(x^10) = 5/2 // * x^10

1 = 5/2*x^10 // : 5/2

2/5 = x^10

x^10 = 2/5 // ^ 1/10

abs(x) = (2/5)^(1/10)

x = (2/5)^(1/10) or x = -(2/5)^(1/10)

x = 0

x = 0

x in { 0}

x in { (2/5)^(1/10), -(2/5)^(1/10) }

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