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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
3/x+2 = (5/4)*x+2+8 // - (5/4)*x+2+8
3/x-((5/4)*x)-8-2+2 = 0
(-5/4)*x+3/x-8-2+2 = 0
3*x^-1-5/4*x^1-8*x^0 = 0
(3*x^0-5/4*x^2-8*x^1)/(x^1) = 0 // * x^2
x^1*(3*x^0-5/4*x^2-8*x^1) = 0
x^1
(-5/4)*x^2-8*x+3 = 0
(-5/4)*x^2-8*x+3 = 0
DELTA = (-8)^2-(3*4*(-5/4))
DELTA = 79
DELTA > 0
x = (79^(1/2)+8)/(2*(-5/4)) or x = (8-79^(1/2))/(2*(-5/4))
x = -2/5*(79^(1/2)+8) or x = -2/5*(8-79^(1/2))
x in { -2/5*(79^(1/2)+8), -2/5*(8-79^(1/2))}
x in { -2/5*(79^(1/2)+8), -2/5*(8-79^(1/2)) }
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