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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x-((4/5)*(x+3)) = 1/x+3 // - 1/x+3
x-((4/5)*(x+3))-(1/x)-3 = 0
(-4/5)*(x+3)+x-x^-1-3 = 0
x-4/5*(x+3)-1/x-3 = 0
(-4/5*x*(x+3))/x+(x^2)/x-1/x+(-3*x)/x = 0
x^2-4/5*x*(x+3)-3*x-1 = 0
1/5*x^2-12/5*x-3*x-1 = 0
1/5*x^2-27/5*x-1 = 0
1/5*x^2-27/5*x-1 = 0
1/5*x^2-27/5*x-1 = 0
DELTA = (-27/5)^2-(-1*1/5*4)
DELTA = 749/25
DELTA > 0
x = ((749/25)^(1/2)+27/5)/(1/5*2) or x = (27/5-(749/25)^(1/2))/(1/5*2)
x = 5/2*((749/25)^(1/2)+27/5) or x = 5/2*(27/5-(749/25)^(1/2))
(x-5/2*(27/5-(749/25)^(1/2)))*(x-5/2*((749/25)^(1/2)+27/5)) = 0
((x-5/2*(27/5-(749/25)^(1/2)))*(x-5/2*((749/25)^(1/2)+27/5)))/x = 0
((x-5/2*(27/5-(749/25)^(1/2)))*(x-5/2*((749/25)^(1/2)+27/5)))/x = 0 // * x
(x-5/2*(27/5-(749/25)^(1/2)))*(x-5/2*((749/25)^(1/2)+27/5)) = 0
( x-5/2*((749/25)^(1/2)+27/5) )
x-5/2*((749/25)^(1/2)+27/5) = 0 // + -5/2*((749/25)^(1/2)+27/5)
x = -(-5/2*((749/25)^(1/2)+27/5))
x = 5/2*((749/25)^(1/2)+27/5)
( x-5/2*(27/5-(749/25)^(1/2)) )
x-5/2*(27/5-(749/25)^(1/2)) = 0 // + -5/2*(27/5-(749/25)^(1/2))
x = -(-5/2*(27/5-(749/25)^(1/2)))
x = 5/2*(27/5-(749/25)^(1/2))
x in { 5/2*((749/25)^(1/2)+27/5), 5/2*(27/5-(749/25)^(1/2)) }
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