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D( x )
x+4 = 0
x+4 = 0
x+4 = 0
x+4 = 0 // - 4
x = -4
x in (-oo:-4) U (-4:+oo)
(3*x^2+5*x-6)/(x+4) = 0
3*x^2+5*x-6 = 0
3*x^2+5*x-6 = 0
DELTA = 5^2-(-6*3*4)
DELTA = 97
DELTA > 0
x = (97^(1/2)-5)/(2*3) or x = (-97^(1/2)-5)/(2*3)
x = (97^(1/2)-5)/6 or x = (-(97^(1/2)+5))/6
(x+(97^(1/2)+5)/6)*(x-((97^(1/2)-5)/6)) = 0
((x+(97^(1/2)+5)/6)*(x-((97^(1/2)-5)/6)))/(x+4) = 0
( x+(97^(1/2)+5)/6 )
x+(97^(1/2)+5)/6 = 0 // - (97^(1/2)+5)/6
x = -((97^(1/2)+5)/6)
( x-((97^(1/2)-5)/6) )
x-((97^(1/2)-5)/6) = 0 // + (97^(1/2)-5)/6
x = (97^(1/2)-5)/6
x in { -((97^(1/2)+5)/6), (97^(1/2)-5)/6 }
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