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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
5*x-6 = 18/x-3 // - 18/x-3
5*x-(18/x)-6+3 = 0
5*x-18*x^-1-6+3 = 0
5*x^1-18*x^-1-3*x^0 = 0
(5*x^2-3*x^1-18*x^0)/(x^1) = 0 // * x^2
x^1*(5*x^2-3*x^1-18*x^0) = 0
x^1
5*x^2-3*x-18 = 0
5*x^2-3*x-18 = 0
DELTA = (-3)^2-(-18*4*5)
DELTA = 369
DELTA > 0
x = (369^(1/2)+3)/(2*5) or x = (3-369^(1/2))/(2*5)
x = (3*41^(1/2)+3)/10 or x = (3-3*41^(1/2))/10
x in { (3-3*41^(1/2))/10, (3*41^(1/2)+3)/10}
x in { (3-3*41^(1/2))/10, (3*41^(1/2)+3)/10 }
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