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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
2*(x-4)*(357/x-4) = 442 // - 442
2*(x-4)*(357/x-4)-442 = 0
2*(x-4)*(357*x^-1-4)-442 = 0
2*(x-4)*(357*x^-1-4)-442 = 0
304-8*x-2856*x^-1 = 0
304-8*x-2856*x^-1 = 0
8*(38-x-357*x^-1) = 0
38*x^0-1*x^1-357*x^-1 = 0
(38*x^1-1*x^2-357*x^0)/(x^1) = 0 // * x^2
x^1*(38*x^1-1*x^2-357*x^0) = 0
x^1
38*x-x^2-357 = 0
38*x-x^2-357 = 0
DELTA = 38^2-(-357*(-1)*4)
DELTA = 16
DELTA > 0
x = (16^(1/2)-38)/(-1*2) or x = (-16^(1/2)-38)/(-1*2)
x = 17 or x = 21
x in { 17, 21}
8*(x-17)*(x-21) = 0
8*(x-17)*(x-21) = 0
( 8 )
8 = 0
x belongs to the empty set
( x-17 )
x-17 = 0 // + 17
x = 17
( x-21 )
x-21 = 0 // + 21
x = 21
x in { 17, 21 }
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