先化简再求值(m-3)/(3m²-6m)/[(m+2-5/m-2)]其中m是方程x²+2x-3=0
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(m-3)/(3m²-6m)/[(m+2-5/m-2)]
=(m-3)/[3m(m-3)]/[(m+2)(m-2)-5]/(m-2)
=1/3m/[(m²-4-5)]/(m-2)
=1/3m/(m²-9)/(m-2)
=(m-2)/[3m(m²-9)],其中m≠±3
∵x²+2x-3=0
(x+3)(x-1)=0
解得:x=1或x=-3(舍去)
故,m=1时,(m-2)/[3m(m²-9)]=(1-2)/[3×(1-9)]=-1/(-24)=1/24
=(m-3)/[3m(m-3)]/[(m+2)(m-2)-5]/(m-2)
=1/3m/[(m²-4-5)]/(m-2)
=1/3m/(m²-9)/(m-2)
=(m-2)/[3m(m²-9)],其中m≠±3
∵x²+2x-3=0
(x+3)(x-1)=0
解得:x=1或x=-3(舍去)
故,m=1时,(m-2)/[3m(m²-9)]=(1-2)/[3×(1-9)]=-1/(-24)=1/24
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