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D( x )
4*x^2-1 = 0
4*x^2-1 = 0
4*x^2-1 = 0
4*x^2 = 1 // : 4
x^2 = 1/4
x^2 = 1/4 // ^ 1/2
abs(x) = 1/2
x = 1/2 or x = -1/2
x in (-oo:-1/2) U (-1/2:1/2) U (1/2:+oo)
(4*x^2+15*x-25)/(4*x^2-1) = 0
4*x^2+15*x-25 = 0
4*x^2+15*x-25 = 0
DELTA = 15^2-(-25*4*4)
DELTA = 625
DELTA > 0
x = (625^(1/2)-15)/(2*4) or x = (-625^(1/2)-15)/(2*4)
x = 5/4 or x = -5
(x+5)*(x-5/4) = 0
((x+5)*(x-5/4))/(4*x^2-1) = 0
( x+5 )
x+5 = 0 // - 5
x = -5
( x-5/4 )
x-5/4 = 0 // + 5/4
x = 5/4
x in { -5, 5/4 }
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