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D( x )
6-(2*x) < 0
6-(2*x) < 0
6-(2*x) < 0
6-2*x < 0
6-2*x < 0 // - 6
-2*x < -6 // : -2
x > -6/(-2)
x > 3
x in (-oo:3>
(5/6)*x = (6-(2*x))^(1/2) // - (6-(2*x))^(1/2)
(5/6)*x-(6-(2*x))^(1/2) = 0
(5/6)*x-(6-2*x)^(1/2) = 0
-(6-2*x)^(1/2) = 5/6*x // - 5/6*x
-(6-2*x)^(1/2) = -(5/6*x) // ^ 2
abs(6-2*x) = (-(5/6*x))^2 // - (-(5/6*x))^2
abs(6-2*x)-(-(5/6*x))^2 = 0
x in (-oo:+oo)
abs(6-2*x)
6-2*x >= 0
6-2*x >= 0 // - 6
-2*x >= -6 // : -2
x <= -6/(-2)
x <= 3
x in (-oo:3>
6-(-(5/6*x))^2-2*x = 0
x in (3:+oo)
-(-(5/6*x))^2-(-2*x)-6 = 0
abs(6-2*x)-(-(5/6*x))^2 = 0
/ | 6-(-(5/6*x))^2-2*x = 0 i x in (-oo:3> | -(-(5/6*x))^2-(-2*x)-6 = 0 i x in (3:+oo)
x in (-oo:3>
6-(-(5/6*x))^2-2*x = 0
6-25/36*x^2-2*x = 0
DELTA = (-2)^2-(-25/36*4*6)
DELTA = 62/3
DELTA > 0
x = ((62/3)^(1/2)+2)/(-25/36*2) or x = (2-(62/3)^(1/2))/(-25/36*2)
x = -18/25*((62/3)^(1/2)+2) or x = -18/25*(2-(62/3)^(1/2))
x in (3:+oo)
-(-(5/6*x))^2-(-2*x)-6 = 0
2*x-25/36*x^2-6 = 0
DELTA = 2^2-(-6*(-25/36)*4)
DELTA = -38/3
DELTA < 0
x in { -18/25*((62/3)^(1/2)+2), -18/25*(2-(62/3)^(1/2)) }
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