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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
3*x-(1/x) = (5/5)*x-8 // - (5/5)*x-8
3*x-((5/5)*x)-(1/x)+8 = 0
3*x-x-x^-1+8 = 0
2*x^1-1*x^-1+8*x^0 = 0
(2*x^2+8*x^1-1*x^0)/(x^1) = 0 // * x^2
x^1*(2*x^2+8*x^1-1*x^0) = 0
x^1
2*x^2+8*x-1 = 0
2*x^2+8*x-1 = 0
DELTA = 8^2-(-1*2*4)
DELTA = 72
DELTA > 0
x = (72^(1/2)-8)/(2*2) or x = (-72^(1/2)-8)/(2*2)
x = (6*2^(1/2)-8)/4 or x = (-6*2^(1/2)-8)/4
x in { (-6*2^(1/2)-8)/4, (6*2^(1/2)-8)/4}
x in { (-6*2^(1/2)-8)/4, (6*2^(1/2)-8)/4 }
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