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D( x )
x^2-x-6 = 0
3*x-3 = 0
x^2-x-6 = 0
x^2-x-6 = 0
x^2-x-6 = 0
DELTA = (-1)^2-(-6*1*4)
DELTA = 25
DELTA > 0
x = (25^(1/2)+1)/(1*2) or x = (1-25^(1/2))/(1*2)
x = 3 or x = -2
3*x-3 = 0
3*x-3 = 0
3*x-3 = 0 // + 3
3*x = 3 // : 3
x = 3/3
x = 1
x in (-oo:-2) U (-2:1) U (1:3) U (3:+oo)
(((x^2+2*x-3)/(x^2-x-6))*(x+2))/(3*x-3) = 0
((x^2+2*x-3)*(x+2))/((x^2-x-6)*(3*x-3)) = 0
x^2+2*x-3 = 0
x^2+2*x-3 = 0
DELTA = 2^2-(-3*1*4)
DELTA = 16
DELTA > 0
x = (16^(1/2)-2)/(1*2) or x = (-16^(1/2)-2)/(1*2)
x = 1 or x = -3
(x+3)*(x-1) = 0
x^2-x-6 = 0
x^2-x-6 = 0
DELTA = (-1)^2-(-6*1*4)
DELTA = 25
DELTA > 0
x = (25^(1/2)+1)/(1*2) or x = (1-25^(1/2))/(1*2)
x = 3 or x = -2
(x+2)*(x-3) = 0
((x+3)*(x-1))/((x-3)*(3*x-3)) = 0
( x+3 )
x+3 = 0 // - 3
x = -3
( x-1 )
x-1 = 0 // + 1
x = 1
x in { 1}
x = -3
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