8x-36/x^2

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Solution for 8x-36/x^2 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)

8*x-(36/(x^2)) = 0

8*x-36*x^-2 = 0

8*x-36*x^-2 = 0

4*x*(2-9*x^-3) = 0

-9*x^-3 = -2 // : -9

x^-3 = 2/9

-3 < 0

1/(x^3) = 2/9 // * x^3

1 = 2/9*x^3 // : 2/9

9/2 = x^3

x^3 = 9/2 // ^ 1/3

x = (9/2)^(1/3)

4*x = 0

4*x = 0 // : 4

x = 0

x in { 0} 

x = (9/2)^(1/3)

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