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D( x )
(2*x-5)^2 = 0
(2*x-5)^2 = 0
(2*x-5)^2 = 0
2*x-5 = 0 // + 5
2*x = 5 // : 2
x = 5/2
x in (-oo:5/2) U (5/2:+oo)
(4*x^2-(20*x)+9)/((2*x-5)^2) = 0
(4*x^2-20*x+9)/((2*x-5)^2) = 0
4*x^2-20*x+9 = 0
4*x^2-20*x+9 = 0
DELTA = (-20)^2-(4*4*9)
DELTA = 256
DELTA > 0
x = (256^(1/2)+20)/(2*4) or x = (20-256^(1/2))/(2*4)
x = 9/2 or x = 1/2
(x-1/2)*(x-9/2) = 0
((x-1/2)*(x-9/2))/((2*x-5)^2) = 0
( x-1/2 )
x-1/2 = 0 // + 1/2
x = 1/2
( x-9/2 )
x-9/2 = 0 // + 9/2
x = 9/2
x in { 1/2, 9/2 }
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