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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
3*x+7/x = (3*x)/x+8 // - (3*x)/x+8
3*x+7/x-((3*x)/x)-8 = 0
3*x+7/x-8-3 = 0
3*x^1+7*x^-1-11*x^0 = 0
(3*x^2-11*x^1+7*x^0)/(x^1) = 0 // * x^2
x^1*(3*x^2-11*x^1+7*x^0) = 0
x^1
3*x^2-11*x+7 = 0
3*x^2-11*x+7 = 0
DELTA = (-11)^2-(3*4*7)
DELTA = 37
DELTA > 0
x = (37^(1/2)+11)/(2*3) or x = (11-37^(1/2))/(2*3)
x = (37^(1/2)+11)/6 or x = (11-37^(1/2))/6
x in { (11-37^(1/2))/6, (37^(1/2)+11)/6}
x in { (11-37^(1/2))/6, (37^(1/2)+11)/6 }
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