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D( x )
16*x^2-1 = 0
4*x^2+15*x-4 = 0
16*x^2-1 = 0
16*x^2-1 = 0
16*x^2 = 1 // : 16
x^2 = 1/16
x^2 = 1/16 // ^ 1/2
abs(x) = 1/4
x = 1/4 or x = -1/4
4*x^2+15*x-4 = 0
4*x^2+15*x-4 = 0
4*x^2+15*x-4 = 0
DELTA = 15^2-(-4*4*4)
DELTA = 289
DELTA > 0
x = (289^(1/2)-15)/(2*4) or x = (-289^(1/2)-15)/(2*4)
x = 1/4 or x = -4
x in (-oo:-4) U (-4:-1/4) U (-1/4:1/4) U (1/4:+oo)
(((x^2+4*x)/(4*x^2+15*x-4))*(16*x^2-(8*x)+1))/(16*x^2-1) = 0
(((x^2+4*x)/(4*x^2+15*x-4))*(16*x^2-8*x+1))/(16*x^2-1) = 0
((x^2+4*x)*(16*x^2-8*x+1))/((4*x^2+15*x-4)*(16*x^2-1)) = 0
x^2+4*x = 0
x*(x+4) = 0
x+4 = 0 // - 4
x = -4
x*(x+4) = 0
4*x^2+15*x-4 = 0
4*x^2+15*x-4 = 0
DELTA = 15^2-(-4*4*4)
DELTA = 289
DELTA > 0
x = (289^(1/2)-15)/(2*4) or x = (-289^(1/2)-15)/(2*4)
x = 1/4 or x = -4
(x+4)*(x-1/4) = 0
16*x^2-8*x+1 = 0
16*x^2-8*x+1 = 0
DELTA = (-8)^2-(1*4*16)
DELTA = 0
x = 8/(2*16)
x = 1/4 or x = 1/4
(x-1/4)^2 = 0
(x*(x+4)*(x-1/4)^2)/((x+4)*(x-1/4)*(16*x^2-1)) = 0
( x+4 )
x+4 = 0 // - 4
x = -4
( x-1/4 )
x-1/4 = 0 // + 1/4
x = 1/4
( x )
x = 0
x in { -4}
x in { 1/4}
x = 0
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