(x+3/x+2)(x-3/x-2)

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

x+3*x^-1+2 = 0

1*x^1+3*x^-1+2*x^0 = 0

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

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

x^1

x^2+2*x+3 = 0

x^2+2*x+3 = 0

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

DELTA = -8

DELTA < 0

x in { } 

1 = 0

x-3*x^-1-2 = 0

1*x^1-3*x^-1-2*x^0 = 0

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

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

x^1

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 in { -1, 3} 

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

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

( x+1 )

x+1 = 0 // - 1

x = -1

( x-3 )

x-3 = 0 // + 3

x = 3

x in { -1, 3 }

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