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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
4*x+(6/3)*x+1 = 4*x-(6/x)-10 // - 4*x-(6/x)-10
4*x+(6/3)*x-(4*x)+6/x+1+10 = 0
4*x+(6/3)*x-4*x+6/x+1+10 = 0
2*x^1+6*x^-1+11*x^0 = 0
(2*x^2+11*x^1+6*x^0)/(x^1) = 0 // * x^2
x^1*(2*x^2+11*x^1+6*x^0) = 0
x^1
2*x^2+11*x+6 = 0
2*x^2+11*x+6 = 0
DELTA = 11^2-(2*4*6)
DELTA = 73
DELTA > 0
x = (73^(1/2)-11)/(2*2) or x = (-73^(1/2)-11)/(2*2)
x = (73^(1/2)-11)/4 or x = (-(73^(1/2)+11))/4
x in { (-(73^(1/2)+11))/4, (73^(1/2)-11)/4}
x in { (-(73^(1/2)+11))/4, (73^(1/2)-11)/4 }
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