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D( X )
X = 0
X = 0
X = 0
X in (-oo:0) U (0:+oo)
(1-(9/X))^2 = 16/25 // - 16/25
(1-(9/X))^2-(16/25) = 0
(1-9*X^-1)^2-16/25 = 0
(25*(1-9*X^-1)^2)/25-16/25 = 0
25*(1-9*X^-1)^2-16 = 0
2025*X^-2-450*X^-1+9 = 0
2025*X^-2-450*X^-1+9 = 0
9*(225*X^-2-50*X^-1+1) = 0
225*X^-2-50*X^-1+1*X^0 = 0
(1*X^2-50*X^1+225*X^0)/(X^2) = 0 // * X^4
X^2*(1*X^2-50*X^1+225*X^0) = 0
X^2
X^2-50*X+225 = 0
X^2-50*X+225 = 0
DELTA = (-50)^2-(1*4*225)
DELTA = 1600
DELTA > 0
X = (1600^(1/2)+50)/(1*2) or X = (50-1600^(1/2))/(1*2)
X = 45 or X = 5
X in { 5, 45}
9*(X-5)*(X-45) = 0
(9*(X-5)*(X-45))/25 = 0
(9*(X-5)*(X-45))/25 = 0 // * 25
9*(X-5)*(X-45) = 0
( X-45 )
X-45 = 0 // + 45
X = 45
( X-5 )
X-5 = 0 // + 5
X = 5
X in { 45, 5 }
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