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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
2*x-(8/x)+5 = 35 // - 35
2*x-(8/x)-35+5 = 0
2*x-8*x^-1-35+5 = 0
2*x^1-8*x^-1-30*x^0 = 0
(2*x^2-30*x^1-8*x^0)/(x^1) = 0 // * x^2
x^1*(2*x^2-30*x^1-8*x^0) = 0
x^1
2*x^2-30*x-8 = 0
2*x^2-30*x-8 = 0
DELTA = (-30)^2-(-8*2*4)
DELTA = 964
DELTA > 0
x = (964^(1/2)+30)/(2*2) or x = (30-964^(1/2))/(2*2)
x = (2*241^(1/2)+30)/4 or x = (30-2*241^(1/2))/4
x in { (30-2*241^(1/2))/4, (2*241^(1/2)+30)/4}
x in { (30-2*241^(1/2))/4, (2*241^(1/2)+30)/4 }
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