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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
6/x = (5/2)*x+28 // - (5/2)*x+28
6/x-((5/2)*x)-28 = 0
(-5/2)*x+6/x-28 = 0
6*x^-1-5/2*x^1-28*x^0 = 0
(6*x^0-5/2*x^2-28*x^1)/(x^1) = 0 // * x^2
x^1*(6*x^0-5/2*x^2-28*x^1) = 0
x^1
(-5/2)*x^2-28*x+6 = 0
(-5/2)*x^2-28*x+6 = 0
DELTA = (-28)^2-(4*6*(-5/2))
DELTA = 844
DELTA > 0
x = (844^(1/2)+28)/(2*(-5/2)) or x = (28-844^(1/2))/(2*(-5/2))
x = (2*211^(1/2)+28)/(-5) or x = (28-2*211^(1/2))/(-5)
x in { (2*211^(1/2)+28)/(-5), (28-2*211^(1/2))/(-5)}
x in { (2*211^(1/2)+28)/(-5), (28-2*211^(1/2))/(-5) }
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