(3x+8)/(x^3+5x^2+6x)

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Solution for (3x+8)/(x^3+5x^2+6x) equation:


D( x )

x^3+5*x^2+6*x = 0

x^3+5*x^2+6*x = 0

x^3+5*x^2+6*x = 0

x^3+5*x^2+6*x = 0

x*(x^2+5*x+6) = 0

x^2+5*x+6 = 0

DELTA = 5^2-(1*4*6)

DELTA = 1

DELTA > 0

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

x = -2 or x = -3

x = 0

x = 0

x in (-oo:-3) U (-3:-2) U (-2:0) U (0:+oo)

(3*x+8)/(x^3+5*x^2+6*x) = 0

x^3+5*x^2+6*x = 0

x*(x^2+5*x+6) = 0

x^2+5*x+6 = 0

DELTA = 5^2-(1*4*6)

DELTA = 1

DELTA > 0

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

x = -2 or x = -3

x*(x+3)*(x+2) = 0

(3*x+8)/(x*(x+3)*(x+2)) = 0

3*x+8 = 0 // - 8

3*x = -8 // : 3

x = -8/3

x = -8/3

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