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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
4*x = 7/x-5 // - 7/x-5
4*x-(7/x)+5 = 0
4*x-7*x^-1+5 = 0
4*x^1-7*x^-1+5*x^0 = 0
(4*x^2+5*x^1-7*x^0)/(x^1) = 0 // * x^2
x^1*(4*x^2+5*x^1-7*x^0) = 0
x^1
4*x^2+5*x-7 = 0
4*x^2+5*x-7 = 0
DELTA = 5^2-(-7*4*4)
DELTA = 137
DELTA > 0
x = (137^(1/2)-5)/(2*4) or x = (-137^(1/2)-5)/(2*4)
x = (137^(1/2)-5)/8 or x = (-(137^(1/2)+5))/8
x in { (-(137^(1/2)+5))/8, (137^(1/2)-5)/8}
x in { (-(137^(1/2)+5))/8, (137^(1/2)-5)/8 }
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