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D( x )
3*x^2-(7*x)-6 = 0
3*x^2-(7*x)-6 = 0
3*x^2-(7*x)-6 = 0
3*x^2-7*x-6 = 0
3*x^2-7*x-6 = 0
DELTA = (-7)^2-(-6*3*4)
DELTA = 121
DELTA > 0
x = (121^(1/2)+7)/(2*3) or x = (7-121^(1/2))/(2*3)
x = 3 or x = -2/3
x in (-oo:-2/3) U (-2/3:3) U (3:+oo)
(x^2-(2*x)-3)/(3*x^2-(7*x)-6) > 0
(x^2-2*x-3)/(3*x^2-7*x-6) > 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 = (2-16^(1/2))/(1*2)
x = 3 or x = -1
(x+1)*(x-3) = 0
3*x^2-7*x-6 = 0
3*x^2-7*x-6 = 0
DELTA = (-7)^2-(-6*3*4)
DELTA = 121
DELTA > 0
x = (121^(1/2)+7)/(2*3) or x = (7-121^(1/2))/(2*3)
x = 3 or x = -2/3
(x+2/3)*(x-3) = 0
((x+1)*(x-3))/((x+2/3)*(x-3)) > 0
( x+1 )
x+1 > 0 // - 1
x > -1
( x+2/3 )
x+2/3 > 0 // - 2/3
x > -2/3
( x-3 )
x-3 > 0 // + 3
x > 3
(-oo:-1) (-1:-2/3) (-2/3:3) (3:+oo) x+1 - + + + x+2/3 - - + + x-3 - - - + x-3 - - - +
x in (-oo:-1) U (-2/3:3) U (3:+oo)
(-oo:-1) U (-2/3:3) U (3:+oo)
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