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D( x )
x-(15*x)+54 = 0
x-(15*x)+54 = 0
x-(15*x)+54 = 0
x-15*x+54 = 0
54-14*x = 0 // - 54
-14*x = -54 // : -14
x = -54/(-14)
x = 27/7
x in (-oo:27/7) U (27/7:+oo)
(x^2-(10*x)+9)/(x-(15*x)+54) = 0
(x^2-10*x+9)/(x-15*x+54) = 0
(x^2-10*x+9)/(54-14*x) = 0
x^2-10*x+9 = 0
x^2-10*x+9 = 0
DELTA = (-10)^2-(1*4*9)
DELTA = 64
DELTA > 0
x = (64^(1/2)+10)/(1*2) or x = (10-64^(1/2))/(1*2)
x = 9 or x = 1
(x-1)*(x-9) = 0
((x-1)*(x-9))/(54-14*x) = 0
( x-1 )
x-1 = 0 // + 1
x = 1
( x-9 )
x-9 = 0 // + 9
x = 9
x in { 1, 9 }
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