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D( x )
x-2 = 0
x^2-(7*x)+10 = 0
x-2 = 0
x-2 = 0
x-2 = 0 // + 2
x = 2
x^2-(7*x)+10 = 0
x^2-(7*x)+10 = 0
x^2-7*x+10 = 0
x^2-7*x+10 = 0
DELTA = (-7)^2-(1*4*10)
DELTA = 9
DELTA > 0
x = (9^(1/2)+7)/(1*2) or x = (7-9^(1/2))/(1*2)
x = 5 or x = 2
x in (-oo:2) U (2:5) U (5:+oo)
16/(x^2-(7*x)+10) = (-4*x)/(x-2) // - (-4*x)/(x-2)
16/(x^2-(7*x)+10)-((-4*x)/(x-2)) = 0
16/(x^2-7*x+10)+4*x*(x-2)^-1 = 0
16/(x^2-7*x+10)+(4*x)/(x-2) = 0
x^2-7*x+10 = 0
x^2-7*x+10 = 0
x^2-7*x+10 = 0
DELTA = (-7)^2-(1*4*10)
DELTA = 9
DELTA > 0
x = (9^(1/2)+7)/(1*2) or x = (7-9^(1/2))/(1*2)
x = 5 or x = 2
(x-2)*(x-5) = 0
16/((x-2)*(x-5))+(4*x)/(x-2) = 0
16/((x-2)*(x-5))+(4*x*(x-5))/((x-2)*(x-5)) = 0
4*x*(x-5)+16 = 0
4*x^2-20*x+16 = 0
4*x^2-20*x+16 = 0
4*(x^2-5*x+4) = 0
x^2-5*x+4 = 0
DELTA = (-5)^2-(1*4*4)
DELTA = 9
DELTA > 0
x = (9^(1/2)+5)/(1*2) or x = (5-9^(1/2))/(1*2)
x = 4 or x = 1
4*(x-1)*(x-4) = 0
(4*(x-1)*(x-4))/((x-2)*(x-5)) = 0
(4*(x-1)*(x-4))/((x-2)*(x-5)) = 0 // * (x-2)*(x-5)
4*(x-1)*(x-4) = 0
( x-1 )
x-1 = 0 // + 1
x = 1
( x-4 )
x-4 = 0 // + 4
x = 4
x in { 1, 4 }
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