7/x^2-5x/1

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Solution for 7/x^2-5x/1 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

7/(x^2)-((5*x)/1) = 0

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

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

x*(7*x^-3-5) = 0

7*x^-3 = 5 // : 7

x^-3 = 5/7

-3 < 0

1/(x^3) = 5/7 // * x^3

1 = 5/7*x^3 // : 5/7

7/5 = x^3

x^3 = 7/5 // ^ 1/3

x = (7/5)^(1/3)

x = 0

x = 0

x in { 0} 

x = (7/5)^(1/3)

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