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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
2*x+5/x-7 = 0
2*x^1+5*x^-1-7*x^0 = 0
(2*x^2-7*x^1+5*x^0)/(x^1) = 0 // * x^2
x^1*(2*x^2-7*x^1+5*x^0) = 0
x^1
2*x^2-7*x+5 = 0
2*x^2-7*x+5 = 0
DELTA = (-7)^2-(2*4*5)
DELTA = 49-40
DELTA = 9
DELTA > 0
x = ((49-40)^(1/2)+7)/(2*2) or x = (7-(49-40)^(1/2))/(2*2)
x = (3+7)/4 or x = (7-3)/4
x in { (7-3)/4, (3+7)/4}
x in { (7-3)/4, (3+7)/4 }
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