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D( x )
x^2 = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
Y = x/(x^2)-(7*x)+12 // - x/(x^2)-(7*x)+12
Y+7*x-(x/(x^2))-12 = 0
Y+7*x-x^-1-12 = 0
7*x^1-1*x^-1-12*x^0 = 0
(7*x^2-12*x^1-1*x^0)/(x^1) = 0 // * x^2
x^1*(7*x^2-12*x^1-1*x^0) = 0
x^1
7*x^2-12*x-1 = 0
7*x^2-12*x-1 = 0
DELTA = (-12)^2-(-1*4*7)
DELTA = 172
DELTA > 0
x = (172^(1/2)+12)/(2*7) or x = (12-172^(1/2))/(2*7)
x = (2*43^(1/2)+12)/14 or x = (12-2*43^(1/2))/14
x in { (12-2*43^(1/2))/14, (2*43^(1/2)+12)/14}
x in { (12-2*43^(1/2))/14, (2*43^(1/2)+12)/14 }
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