(5x^3-45x)/(x^2+3)

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Solution for (5x^3-45x)/(x^2+3) equation: 


D( x )

x^2+3 = 0

x^2+3 = 0

x^2+3 = 0

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

x^2 = -3

x in (-oo:+oo)

(5*x^3-(45*x))/(x^2+3) = 0

(5*x^3-45*x)/(x^2+3) = 0

5*x^3-45*x = 0

5*x*(x^2-9) = 0

1*x^2 = 9 // : 1

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

5*x*(x-3)*(x+3) = 0

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

( 5*x )

5*x = 0 // : 5

x = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x-3 )

x-3 = 0 // + 3

x = 3

x in { 0, -3, 3 }

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