(3x^2-5x-2)/(x^2-4)

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Solution for (3x^2-5x-2)/(x^2-4) equation: 


D( x )

x^2-4 = 0

x^2-4 = 0

x^2-4 = 0

1*x^2 = 4 // : 1

x^2 = 4

x^2 = 4 // ^ 1/2

abs(x) = 2

x = 2 or x = -2

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

(3*x^2-(5*x)-2)/(x^2-4) = 0

(3*x^2-5*x-2)/(x^2-4) = 0

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

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

DELTA = (-5)^2-(-2*3*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+5)/(2*3) or x = (5-49^(1/2))/(2*3)

x = 2 or x = -1/3

(x+1/3)*(x-2) = 0

((x+1/3)*(x-2))/(x^2-4) = 0

( x+1/3 )

x+1/3 = 0 // - 1/3

x = -1/3

( x-2 )

x-2 = 0 // + 2

x = 2

x in { 2} 

x = -1/3

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