(3-2x-x^2)/(x^2-1)

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Solution for (3-2x-x^2)/(x^2-1) equation: 


D( x )

x^2-1 = 0

x^2-1 = 0

x^2-1 = 0

1*x^2 = 1 // : 1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

x in (-oo:-1) U (-1:1) U (1:+oo)

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

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

3-x^2-2*x = 0

3-x^2-2*x = 0

DELTA = (-2)^2-(-1*3*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)+2)/(-1*2) or x = (2-16^(1/2))/(-1*2)

x = -3 or x = 1

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

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

( x+3 )

x+3 = 0 // - 3

x = -3

( x-1 )

x-1 = 0 // + 1

x = 1

x in { 1} 

x = -3

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