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D( x )
x^2-(3*x)-10 = 0
x^2-(3*x)-10 = 0
x^2-(3*x)-10 = 0
x^2-3*x-10 = 0
x^2-3*x-10 = 0
DELTA = (-3)^2-(-10*1*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)+3)/(1*2) or x = (3-49^(1/2))/(1*2)
x = 5 or x = -2
x in (-oo:-2) U (-2:5) U (5:+oo)
(x^2-(5*x))/(x^2-(3*x)-10)-((x-5)/(x^2-(3*x)-10)) = 0
(x^2-5*x)/(x^2-3*x-10)-((x-5)/(x^2-3*x-10)) = 0
(x^2-5*x)/(x^2-3*x-10)+(-1*(x-5))/(x^2-3*x-10) = 0
x^2-3*x-10 = 0
x^2-3*x-10 = 0
x^2-3*x-10 = 0
DELTA = (-3)^2-(-10*1*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)+3)/(1*2) or x = (3-49^(1/2))/(1*2)
x = 5 or x = -2
(x+2)*(x-5) = 0
(x^2-5*x)/((x+2)*(x-5))+(-1*(x-5))/((x+2)*(x-5)) = 0
x^2-1*(x-5)-5*x = 0
x^2-6*x+5 = 0
x^2-6*x+5 = 0
x^2-6*x+5 = 0
DELTA = (-6)^2-(1*4*5)
DELTA = 16
DELTA > 0
x = (16^(1/2)+6)/(1*2) or x = (6-16^(1/2))/(1*2)
x = 5 or x = 1
(x-1)*(x-5) = 0
((x-1)*(x-5))/((x+2)*(x-5)) = 0
((x-1)*(x-5))/((x+2)*(x-5)) = 0 // * (x+2)*(x-5)
(x-1)*(x-5) = 0
( x-1 )
x-1 = 0 // + 1
x = 1
( x-5 )
x-5 = 0 // + 5
x = 5
x in { 5}
x = 1
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