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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(2*x-7)/x = (x-2)/5 // - (x-2)/5
(2*x-7)/x-((x-2)/5) = 0
(2*x-7)/x+(-1*(x-2))/5 = 0
(5*(2*x-7))/(5*x)+(-1*x*(x-2))/(5*x) = 0
5*(2*x-7)-1*x*(x-2) = 0
12*x-x^2-35 = 0
12*x-x^2-35 = 0
12*x-x^2-35 = 0
DELTA = 12^2-(-35*(-1)*4)
DELTA = 4
DELTA > 0
x = (4^(1/2)-12)/(-1*2) or x = (-4^(1/2)-12)/(-1*2)
x = 5 or x = 7
(x-5)*(x-7) = 0
((x-5)*(x-7))/(5*x) = 0
((x-5)*(x-7))/(5*x) = 0 // * 5*x
(x-5)*(x-7) = 0
( x-5 )
x-5 = 0 // + 5
x = 5
( x-7 )
x-7 = 0 // + 7
x = 7
x in { 5, 7 }
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