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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
25/x-(6*x) = 4 // - 4
25/x-(6*x)-4 = 0
25/x-6*x-4 = 0
25*x^-1-6*x^1-4*x^0 = 0
(25*x^0-6*x^2-4*x^1)/(x^1) = 0 // * x^2
x^1*(25*x^0-6*x^2-4*x^1) = 0
x^1
25-6*x^2-4*x = 0
25-6*x^2-4*x = 0
DELTA = (-4)^2-(-6*4*25)
DELTA = 616
DELTA > 0
x = (616^(1/2)+4)/(-6*2) or x = (4-616^(1/2))/(-6*2)
x = (2*154^(1/2)+4)/(-12) or x = (4-2*154^(1/2))/(-12)
x in { (2*154^(1/2)+4)/(-12), (4-2*154^(1/2))/(-12)}
x in { (2*154^(1/2)+4)/(-12), (4-2*154^(1/2))/(-12) }
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