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

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


D( x )

x+2 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

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

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

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

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

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

x^2-2*x-3*x-6+1 = 0

x^2-5*x-5 = 0

x^2-5*x-5 = 0

x^2-5*x-5 = 0

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

DELTA = 45

DELTA > 0

x = (45^(1/2)+5)/(1*2) or x = (5-45^(1/2))/(1*2)

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

(x-((5-3*5^(1/2))/2))*(x-((3*5^(1/2)+5)/2)) = 0

((x-((5-3*5^(1/2))/2))*(x-((3*5^(1/2)+5)/2)))/(x+2) = 0

((x-((5-3*5^(1/2))/2))*(x-((3*5^(1/2)+5)/2)))/(x+2) = 0 // * x+2

(x-((5-3*5^(1/2))/2))*(x-((3*5^(1/2)+5)/2)) = 0

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

x-((3*5^(1/2)+5)/2) = 0 // + (3*5^(1/2)+5)/2

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

( x-((5-3*5^(1/2))/2) )

x-((5-3*5^(1/2))/2) = 0 // + (5-3*5^(1/2))/2

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

x in { (3*5^(1/2)+5)/2, (5-3*5^(1/2))/2 }

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