5x^3/x^5=125

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Solution for 5x^3/x^5=125 equation: 


D( x )

x^5 = 0

x^5 = 0

x^5 = 0

1*x^5 = 0 // : 1

x^5 = 0

x = 0

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

(5*x^3)/(x^5) = 125 // - 125

(5*x^3)/(x^5)-125 = 0

5*x^-2 = 125 // : 5

x^-2 = 25

-2 < 0

1/(x^2) = 25 // * x^2

1 = 25*x^2 // : 25

1/25 = x^2

x^2 = 1/25 // ^ 1/2

abs(x) = 1/5

x = 1/5 or x = -1/5

x in { 1/5, -1/5 }

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