已知m2-6m-1=0 求2m2-6m+1⼀m2的值

2024-11-25 23:43:12
推荐回答(1个)
回答1:

m²-6m-1=0,两边同除以m,得m-1/m=6
2m²-6m+1/m²
=m²+(m²-6m-1)+1+1/m²
=m²+1+1/m²
=(m-1/m)²+3
=6²+3=39