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D( x )
2*x+3 = 0
2*x+3 = 0
2*x+3 = 0
2*x+3 = 0 // - 3
2*x = -3 // : 2
x = -3/2
x in (-oo:-3/2) U (-3/2:+oo)
(2*x^2-(17*x)-38)/(2*x+3) = 0
(2*x^2-17*x-38)/(2*x+3) = 0
2*x^2-17*x-38 = 0
2*x^2-17*x-38 = 0
DELTA = (-17)^2-(-38*2*4)
DELTA = 593
DELTA > 0
x = (593^(1/2)+17)/(2*2) or x = (17-593^(1/2))/(2*2)
x = (593^(1/2)+17)/4 or x = (17-593^(1/2))/4
(x-((17-593^(1/2))/4))*(x-((593^(1/2)+17)/4)) = 0
((x-((17-593^(1/2))/4))*(x-((593^(1/2)+17)/4)))/(2*x+3) = 0
( x-((17-593^(1/2))/4) )
x-((17-593^(1/2))/4) = 0 // + (17-593^(1/2))/4
x = (17-593^(1/2))/4
( x-((593^(1/2)+17)/4) )
x-((593^(1/2)+17)/4) = 0 // + (593^(1/2)+17)/4
x = (593^(1/2)+17)/4
x in { (17-593^(1/2))/4, (593^(1/2)+17)/4 }
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