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D( x )
6*x^2-(13*x)+2 = 0
x^2+4*x-12 = 0
6*x^2-(13*x)+2 = 0
6*x^2-(13*x)+2 = 0
6*x^2-13*x+2 = 0
6*x^2-13*x+2 = 0
DELTA = (-13)^2-(2*4*6)
DELTA = 121
DELTA > 0
x = (121^(1/2)+13)/(2*6) or x = (13-121^(1/2))/(2*6)
x = 2 or x = 1/6
x^2+4*x-12 = 0
x^2+4*x-12 = 0
x^2+4*x-12 = 0
DELTA = 4^2-(-12*1*4)
DELTA = 64
DELTA > 0
x = (64^(1/2)-4)/(1*2) or x = (-64^(1/2)-4)/(1*2)
x = 2 or x = -6
x in (-oo:-6) U (-6:1/6) U (1/6:2) U (2:+oo)
(((x^2-(4*x)+4)/(x^2+4*x-12))*(2*x+12))/(6*x^2-(13*x)+2) = 0
(((x^2-4*x+4)/(x^2+4*x-12))*(2*x+12))/(6*x^2-13*x+2) = 0
((x^2-4*x+4)*(2*x+12))/((x^2+4*x-12)*(6*x^2-13*x+2)) = 0
x^2-4*x+4 = 0
x^2-4*x+4 = 0
DELTA = (-4)^2-(1*4*4)
DELTA = 0
x = 4/(1*2)
x = 2 or x = 2
(x-2)^2 = 0
x^2+4*x-12 = 0
x^2+4*x-12 = 0
DELTA = 4^2-(-12*1*4)
DELTA = 64
DELTA > 0
x = (64^(1/2)-4)/(1*2) or x = (-64^(1/2)-4)/(1*2)
x = 2 or x = -6
(x+6)*(x-2) = 0
6*x^2-13*x+2 = 0
6*x^2-13*x+2 = 0
DELTA = (-13)^2-(2*4*6)
DELTA = 121
DELTA > 0
x = (121^(1/2)+13)/(2*6) or x = (13-121^(1/2))/(2*6)
x = 2 or x = 1/6
(x-1/6)*(x-2) = 0
((x-2)^2*(2*x+12))/((x+6)*(x-2)^2*(x-1/6)) = 0
( 2*x+12 )
2*x+12 = 0 // - 12
2*x = -12 // : 2
x = -12/2
x = -6
( x-2 )
x-2 = 0 // + 2
x = 2
x in { -6}
x in { 2}
x belongs to the empty set
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