Question

当m为何值时,代数式m/m-1与3/m²-1 +1的值相等 这个

Answer 1

m/m-1=3/m²-1 +1

m/(m-1)=(3+m²-1)/(m²-1)

m(m+1)/(m²-1)=(m²+2)/(m²-1)

m²+m=m²+2

∴m=2时,代数式m/m-1与3/m²-1 +1的值相等

m²-2m+1/m²-1 ÷（m-1- m-1/m+1)

=(m-1)²/(m+1)(m-1)÷[(m-1)(m+1)-m+1]/(m+1)

=(m-1)/(m+1)÷[(m²-1+m+1)/(m+1)]

=(m²+m)/(m+1)

=m 设m=10000

∴m=10000