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D( x )
15-(2*x) < 0
15-(2*x) < 0
15-(2*x) < 0
15-2*x < 0
15-2*x < 0 // - 15
-2*x < -15 // : -2
x > -15/(-2)
x > 15/2
x in (-oo:15/2>
(15-(2*x))^(1/2) = x // - x
(15-(2*x))^(1/2)-x = 0
(15-2*x)^(1/2)-x = 0
(15-2*x)^(1/2) = -x // + x
(15-2*x)^(1/2) = x // ^ 2
abs(15-2*x) = x^2 // - x^2
abs(15-2*x)-x^2 = 0
x in (-oo:+oo)
abs(15-2*x)
15-2*x >= 0
15-2*x >= 0 // - 15
-2*x >= -15 // : -2
x <= -15/(-2)
x <= 15/2
x in (-oo:15/2>
15-x^2-2*x = 0
x in (15/2:+oo)
-x^2-(-2*x)-15 = 0
abs(15-2*x)-x^2 = 0
/ | 15-x^2-2*x = 0 i x in (-oo:15/2> | -x^2-(-2*x)-15 = 0 i x in (15/2:+oo)
x in (-oo:15/2>
15-x^2-2*x = 0
DELTA = (-2)^2-(-1*4*15)
DELTA = 64
DELTA > 0
x = (64^(1/2)+2)/(-1*2) or x = (2-64^(1/2))/(-1*2)
x = -5 or x = 3
x in (15/2:+oo)
-x^2-(-2*x)-15 = 0
2*x-x^2-15 = 0
DELTA = 2^2-(-15*(-1)*4)
DELTA = -56
DELTA < 0
x in { -5, 3 }
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