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D( x )
2*x-1 = 0
2*x-1 = 0
2*x-1 = 0
2*x-1 = 0 // + 1
2*x = 1 // : 2
x = 1/2
x in (-oo:1/2) U (1/2:+oo)
(4*x^2-1)/(2*x-1) = 9 // - 9
(4*x^2-1)/(2*x-1)-9 = 0
(4*x^2-1)/(2*x-1)+(-9*(2*x-1))/(2*x-1) = 0
4*x^2-9*(2*x-1)-1 = 0
4*x^2-18*x+8 = 0
4*x^2-18*x+8 = 0
2*(2*x^2-9*x+4) = 0
2*x^2-9*x+4 = 0
DELTA = (-9)^2-(2*4*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)+9)/(2*2) or x = (9-49^(1/2))/(2*2)
x = 4 or x = 1/2
2*(x-1/2)*(x-4) = 0
(2*(x-1/2)*(x-4))/(2*x-1) = 0
(2*(x-1/2)*(x-4))/(2*x-1) = 0 // * 2*x-1
2*(x-1/2)*(x-4) = 0
( x-1/2 )
x-1/2 = 0 // + 1/2
x = 1/2
( x-4 )
x-4 = 0 // + 4
x = 4
x in { 1/2}
x = 4
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