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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
8*x-(5/x)-7 = 0
8*x-5*x^-1-7 = 0
8*x^1-5*x^-1-7*x^0 = 0
(8*x^2-7*x^1-5*x^0)/(x^1) = 0 // * x^2
x^1*(8*x^2-7*x^1-5*x^0) = 0
x^1
8*x^2-7*x-5 = 0
8*x^2-7*x-5 = 0
DELTA = (-7)^2-(-5*4*8)
DELTA = 209
DELTA > 0
x = (209^(1/2)+7)/(2*8) or x = (7-209^(1/2))/(2*8)
x = (209^(1/2)+7)/16 or x = (7-209^(1/2))/16
x in { (7-209^(1/2))/16, (209^(1/2)+7)/16}
x in { (7-209^(1/2))/16, (209^(1/2)+7)/16 }
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