已知x是一元二次方程x2+3x+1=0的实数根,求代数式(x-3/3x2-6)÷(x+2-5/x+2)的值。急!!!

如题所述

(x-3/3x^2-6x)/(x+2-5/x-2)
={(x-3)/[3x(x-2)]}/{[(x+2)(x-2)-5]/(x-2)]}
={(x-3)/[3x(x-2)]}/[(x�0�5-9)/(x-2)]
={(x-3)/[3x(x-2)]}/{[(x+3)(x-3)]/(x-2)]}
=1/[3x(x+3)]
=1/[3(x�0�5+3x)]
因为x是方程的根
那么x�0�5+3x-1=0
x�0�5+3x=1
原式=1/3
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第1个回答  2014-03-08
X^+3X-1=0即x^+3x=1
[(X-3)/(3X^-6X)]/[(X+2)-5/(X-2)]
=[(X-3)/(3X^-6X)]/[(x�0�5-4)/(x-2)-5/(x-2)]
=[(X-3)/(3X^-6X)]/[(x�0�5-4-5)/(x-2)]
=[(X-3)/(3X(x-2)]*[x-2)/(x+3)(x-3)]
=1/3x�0�5+9x=1/[3(x^+3x)]=1/3
第2个回答  2014-03-08
(/)的/是分数的分号还是除号?(/里面全部是分子吗