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D( x )
x^2-(4*x)-32 = 0
x^2-(4*x)-32 = 0
x^2-(4*x)-32 = 0
x^2-4*x-32 = 0
x^2-4*x-32 = 0
DELTA = (-4)^2-(-32*1*4)
DELTA = 144
DELTA > 0
x = (144^(1/2)+4)/(1*2) or x = (4-144^(1/2))/(1*2)
x = 8 or x = -4
x in (-oo:-4) U (-4:8) U (8:+oo)
(9*x^2-(8*x))/(x^2-(4*x)-32) = 0
(9*x^2-8*x)/(x^2-4*x-32) = 0
9*x^2-8*x = 0
x*(9*x-8) = 0
9*x-8 = 0 // + 8
9*x = 8 // : 9
x = 8/9
x*(x-8/9) = 0
x^2-4*x-32 = 0
x^2-4*x-32 = 0
DELTA = (-4)^2-(-32*1*4)
DELTA = 144
DELTA > 0
x = (144^(1/2)+4)/(1*2) or x = (4-144^(1/2))/(1*2)
x = 8 or x = -4
(x+4)*(x-8) = 0
(x*(x-8/9))/((x+4)*(x-8)) = 0
( x-8/9 )
x-8/9 = 0 // + 8/9
x = 8/9
( x )
x = 0
x in { 8/9, 0 }
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