X^5/x^3=13x

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Solution for X^5/x^3=13x equation: 


D( x )

x^3 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

(X^5)/(x^3) = 13*x // - 13*x

(X^5)/(x^3)-(13*x) = 0

(X^5)/(x^3)-13*x = 0

X^5*x^-3-13*x = 0

x*(X^5*x^-4-13) = 0

X^5*x^-4 = 13 // : X^5

x^-4 = 13/(X^5)

-4 < 0

1/(x^4) = 13/(X^5) // * x^4

1 = (13/(X^5))*x^4 // : 13/(X^5)

1/(13/(X^5)) = x^4

x^4 = 1/(13/(X^5)) // ^ 1/4

abs(x) = 1/((13^(1/4))/(X^(5/4)))

x = 1/((13^(1/4))/(X^(5/4))) or x = -(1/((13^(1/4))/(X^(5/4))))

x = 0

x = 0

x in { 0} 

x in { 1/((13^(1/4))/(X^(5/4))), -(1/((13^(1/4))/(X^(5/4)))) }

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