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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
4*(7*x-7)+12/x = 3-4+13 // - 3-4+13
4*(7*x-7)+12/x-13-3+4 = 0
(4*x*(7*x-7))/x+12/x+(-13*x)/x+(-3*x)/x+(4*x)/x = 0
4*x*(7*x-7)-13*x-3*x+4*x+12 = 0
28*x^2-28*x-13*x-3*x+4*x+12 = 0
28*x^2-41*x-3*x+4*x+12 = 0
28*x^2-44*x+4*x+12 = 0
28*x^2-40*x+12 = 0
28*x^2-40*x+12 = 0
4*(7*x^2-10*x+3) = 0
7*x^2-10*x+3 = 0
DELTA = (-10)^2-(3*4*7)
DELTA = 16
DELTA > 0
x = (16^(1/2)+10)/(2*7) or x = (10-16^(1/2))/(2*7)
x = 1 or x = 3/7
4*(x-3/7)*(x-1) = 0
(4*(x-3/7)*(x-1))/x = 0
(4*(x-3/7)*(x-1))/x = 0 // * x
4*(x-3/7)*(x-1) = 0
( x-1 )
x-1 = 0 // + 1
x = 1
( x-3/7 )
x-3/7 = 0 // + 3/7
x = 3/7
x in { 1, 3/7 }
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