3x+6/x^2-3x-10

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Solution for 3x+6/x^2-3x-10 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)

3*x-(3*x)+6/(x^2)-10 = 0

3*x-3*x+6/(x^2)-10 = 0

6*x^-2 = 10 // : 6

x^-2 = 5/3

-2 < 0

1/(x^2) = 5/3 // * x^2

1 = 5/3*x^2 // : 5/3

3/5 = x^2

x^2 = 3/5 // ^ 1/2

abs(x) = (3/5)^(1/2)

x = (3/5)^(1/2) or x = -(3/5)^(1/2)

x in { (3/5)^(1/2), -(3/5)^(1/2) }

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