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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(5/2)*x+5/x = 15 // - 15
(5/2)*x+5/x-15 = 0
5/2*x^1+5*x^-1-15*x^0 = 0
(5/2*x^2-15*x^1+5*x^0)/(x^1) = 0 // * x^2
x^1*(5/2*x^2-15*x^1+5*x^0) = 0
x^1
(5/2)*x^2-15*x+5 = 0
(5/2)*x^2-15*x+5 = 0
DELTA = (-15)^2-(4*5*(5/2))
DELTA = 175
DELTA > 0
x = (175^(1/2)+15)/(2*(5/2)) or x = (15-175^(1/2))/(2*(5/2))
x = (5*7^(1/2)+15)/5 or x = (15-5*7^(1/2))/5
x in { (15-5*7^(1/2))/5, (5*7^(1/2)+15)/5}
x in { (15-5*7^(1/2))/5, (5*7^(1/2)+15)/5 }
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