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

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


D( x )

3*x-3 = 0

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

x-1 = 0

3*x-3 = 0

3*x-3 = 0

3*x-3 = 0 // + 3

3*x = 3 // : 3

x = 3/3

x = 1

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

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

x^2-x-2 = 0

x^2-x-2 = 0

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

DELTA = 9

DELTA > 0

x = (9^(1/2)+1)/(1*2) or x = (1-9^(1/2))/(1*2)

x = 2 or x = -1

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

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

( x+1 )

x+1 = 0 // - 1

x = -1

( x-2 )

x-2 = 0 // + 2

x = 2

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:-1) U (-1:1) U (1:2) U (2:+oo)

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

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

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

x^2-2*x-3 = 0

x^2-2*x-3 = 0

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

x^2-x-2 = 0

x^2-x-2 = 0

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

DELTA = 9

DELTA > 0

x = (9^(1/2)+1)/(1*2) or x = (1-9^(1/2))/(1*2)

x = 2 or x = -1

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

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

( x+1 )

x+1 = 0 // - 1

x = -1

( x-1 )

x-1 = 0 // + 1

x = 1

( x-3 )

x-3 = 0 // + 3

x = 3

x in { -1}

x in { 1}

x = 3

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