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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
6/x-7 = 9*x // - 9*x
6/x-(9*x)-7 = 0
6/x-9*x-7 = 0
6*x^-1-9*x^1-7*x^0 = 0
(6*x^0-9*x^2-7*x^1)/(x^1) = 0 // * x^2
x^1*(6*x^0-9*x^2-7*x^1) = 0
x^1
6-9*x^2-7*x = 0
6-9*x^2-7*x = 0
DELTA = (-7)^2-(-9*4*6)
DELTA = 265
DELTA > 0
x = (265^(1/2)+7)/(-9*2) or x = (7-265^(1/2))/(-9*2)
x = (265^(1/2)+7)/(-18) or x = (7-265^(1/2))/(-18)
x in { (265^(1/2)+7)/(-18), (7-265^(1/2))/(-18)}
x in { (265^(1/2)+7)/(-18), (7-265^(1/2))/(-18) }
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