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D( x )
x^2-x-2 = 0
x^2-(2*x)-3 = 0
x^2-x-2 = 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^2-(2*x)-3 = 0
x^2-(2*x)-3 = 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 in (-oo:-1) U (-1:2) U (2:3) U (3:+oo)
3/(x^2-x-2) = (x+43)/(x^2-x-2)-(40/(x^2-(2*x)-3)) // - (x+43)/(x^2-x-2)-(40/(x^2-(2*x)-3))
3/(x^2-x-2)-((x+43)/(x^2-x-2))+40/(x^2-(2*x)-3) = 0
3/(x^2-x-2)-((x+43)/(x^2-x-2))+40/(x^2-2*x-3) = 0
3/(x^2-x-2)+(-1*(x+43))/(x^2-x-2)+40/(x^2-2*x-3) = 0
x^2-x-2 = 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^2-2*x-3 = 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
3/((x+1)*(x-2))+(-1*(x+43))/((x+1)*(x-2))+40/((x+1)*(x-3)) = 0
3/((x+1)*(x-2))+(-1*(x+43))/((x+1)*(x-2))+(40*(x-2))/((x+1)*(x-2)) = 0
40*(x-2)-1*(x+43)+3 = 0
40*x-x-80-40 = 0
39*x-120 = 0
(39*x-120)/((x+1)*(x-2)) = 0
(39*x-120)/((x+1)*(x-2)) = 0 // * (x+1)*(x-2)
39*x-120 = 0
39*x-120 = 0 // + 120
39*x = 120 // : 39
x = 120/39
x = 40/13
x = 40/13
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