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D( x )
2*x^2-x-6 = 0
2*x^2-x-6 = 0
2*x^2-x-6 = 0
2*x^2-x-6 = 0
DELTA = (-1)^2-(-6*2*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)+1)/(2*2) or x = (1-49^(1/2))/(2*2)
x = 2 or x = -3/2
x in (-oo:-3/2) U (-3/2:2) U (2:+oo)
(3*x^2-(3*x)-6)/(2*x^2-x-6) = 0
(3*x^2-3*x-6)/(2*x^2-x-6) = 0
3*x^2-3*x-6 = 0
3*(x^2-x-2) = 0
x^2-x-2 = 0
DELTA = (-1)^2-(-2*1*4)
DELTA = 9
DELTA > 0
x = (9^(1/2)+1)/(1*2) or x = (1-9^(1/2))/(1*2)
x = 2 or x = -1
3*(x+1)*(x-2) = 0
2*x^2-x-6 = 0
2*x^2-x-6 = 0
DELTA = (-1)^2-(-6*2*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)+1)/(2*2) or x = (1-49^(1/2))/(2*2)
x = 2 or x = -3/2
(x+3/2)*(x-2) = 0
(3*(x+1)*(x-2))/((x+3/2)*(x-2)) = 0
( 3 )
3 = 0
x belongs to the empty set
( x+1 )
x+1 = 0 // - 1
x = -1
( x-2 )
x-2 = 0 // + 2
x = 2
x in { 2}
x = -1
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