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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
4*x-(8/x) = 12 // - 12
4*x-(8/x)-12 = 0
4*x-8*x^-1-12 = 0
4*x^1-8*x^-1-12*x^0 = 0
(4*x^2-12*x^1-8*x^0)/(x^1) = 0 // * x^2
x^1*(4*x^2-12*x^1-8*x^0) = 0
x^1
4*x^2-12*x-8 = 0
4*x^2-12*x-8 = 0
DELTA = (-12)^2-(-8*4*4)
DELTA = 272
DELTA > 0
x = (272^(1/2)+12)/(2*4) or x = (12-272^(1/2))/(2*4)
x = (4*17^(1/2)+12)/8 or x = (12-4*17^(1/2))/8
x in { (12-4*17^(1/2))/8, (4*17^(1/2)+12)/8}
x in { (12-4*17^(1/2))/8, (4*17^(1/2)+12)/8 }
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