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D( x )
0.5-x = 0
0.5-x = 0
0.5-x = 0
0.5-x = 0 // - 0.5
-x = -0.5 // * -1
x = 0.5
x in (-oo:0.5) U (0.5:+oo)
50 = ((x+1)/(0.5-x))*(0.2-x) // - ((x+1)/(0.5-x))*(0.2-x)
50-(((x+1)/(0.5-x))*(0.2-x)) = 0
(-1*(x+1)*(0.2-x))/(0.5-x)+50 = 0
(-1*(x+1)*(0.2-x))/(0.5-x)+(50*(0.5-x))/(0.5-x) = 0
50*(0.5-x)-1*(x+1)*(0.2-x) = 0
x^2-49.2*x+24.8 = 0
x^2-49.2*x+24.8 = 0
x^2-49.2*x+24.8 = 0
DELTA = (-49.2)^2-(1*4*24.8)
DELTA = 49.2^2-99.2
DELTA = 2321.44
DELTA > 0
x = ((49.2^2-99.2)^(1/2)+49.2)/(1*2) or x = (49.2-(49.2^2-99.2)^(1/2))/(1*2)
x = ((49.2^2-99.2)^(1/2)+49.2)/2 or x = (49.2-(49.2^2-99.2)^(1/2))/2
(x-((49.2-(49.2^2-99.2)^(1/2))/2))*(x-(((49.2^2-99.2)^(1/2)+49.2)/2)) = 0
((x-((49.2-(49.2^2-99.2)^(1/2))/2))*(x-(((49.2^2-99.2)^(1/2)+49.2)/2)))/(0.5-x) = 0
((x-((49.2-(49.2^2-99.2)^(1/2))/2))*(x-(((49.2^2-99.2)^(1/2)+49.2)/2)))/(0.5-x) = 0 // * 0.5-x
(x-((49.2-(49.2^2-99.2)^(1/2))/2))*(x-(((49.2^2-99.2)^(1/2)+49.2)/2)) = 0
( x-(((49.2^2-99.2)^(1/2)+49.2)/2) )
x-(((49.2^2-99.2)^(1/2)+49.2)/2) = 0 // + ((49.2^2-99.2)^(1/2)+49.2)/2
x = ((49.2^2-99.2)^(1/2)+49.2)/2
( x-((49.2-(49.2^2-99.2)^(1/2))/2) )
x-((49.2-(49.2^2-99.2)^(1/2))/2) = 0 // + (49.2-(49.2^2-99.2)^(1/2))/2
x = (49.2-(49.2^2-99.2)^(1/2))/2
x in { ((49.2^2-99.2)^(1/2)+49.2)/2, (49.2-(49.2^2-99.2)^(1/2))/2 }
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