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D( x )
(4*x^2-(3*x)-1)^0.5 = 0
4*x^2-(3*x)-1 < 0
(4*x^2-(3*x)-1)^0.5 = 0
(4*x^2-(3*x)-1)^0.5 = 0
(4*x^2-3*x-1)^0.5 = 0
4*x^2-3*x-1 = 0
4*x^2-3*x-1 = 0
DELTA = (-3)^2-(-1*4*4)
DELTA = 25
DELTA > 0
x = (25^(1/2)+3)/(2*4) or x = (3-25^(1/2))/(2*4)
x = 1 or x = -1/4
(x+1/4)*(x-1) = 0
(x+1/4)^0.5*(x-1)^0.5 = 0
( x+1/4 )
x+1/4 = 0 // - 1/4
x = -1/4
( x-1 )
x-1 = 0 // + 1
x = 1
4*x^2-(3*x)-1 < 0
4*x^2-(3*x)-1 < 0
4*x^2-3*x-1 < 0
4*x^2-3*x-1 < 0
DELTA = (-3)^2-(-1*4*4)
DELTA = 25
DELTA > 0
x = (25^(1/2)+3)/(2*4) or x = (3-25^(1/2))/(2*4)
x = 1 or x = -1/4
a = 4
a > 0
x in (-1/4:1)
x in (-oo:-1/4) U (1:+oo)
(16*x-6)/((4*x^2-(3*x)-1)^0.5) = 0
(16*x-6)/((4*x^2-3*x-1)^0.5) = 0
4*x^2-3*x-1 = 0
4*x^2-3*x-1 = 0
DELTA = (-3)^2-(-1*4*4)
DELTA = 25
DELTA > 0
x = (25^(1/2)+3)/(2*4) or x = (3-25^(1/2))/(2*4)
x = 1 or x = -1/4
(x+1/4)*(x-1) = 0
(16*x-6)/((x+1/4)^0.5*(x-1)^0.5) = 0
16*x-6 = 0 // + 6
16*x = 6 // : 16
x = 6/16
x = 3/8
x in { 3/8}
x belongs to the empty set
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