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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
4*x+9/x = 15 // - 15
4*x+9/x-15 = 0
4*x^1+9*x^-1-15*x^0 = 0
(4*x^2-15*x^1+9*x^0)/(x^1) = 0 // * x^2
x^1*(4*x^2-15*x^1+9*x^0) = 0
x^1
4*x^2-15*x+9 = 0
4*x^2-15*x+9 = 0
DELTA = (-15)^2-(4*4*9)
DELTA = 81
DELTA > 0
x = (81^(1/2)+15)/(2*4) or x = (15-81^(1/2))/(2*4)
x = 3 or x = 3/4
x in { 3/4, 3}
x in { 3/4, 3 }
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