Question

已知m2+n2+mn+m-n=-1则m分之一+n分之一=?

Answer 1

m2+n2+mn+m-n=-1

2m²+2n²+2mn+2m-2n+2=0

(m²+n²+2mn)+(m²+2m+1)+(n²-2n+1)=0

(m+n)²+(m+1)²+(n-1)²=0

m+1=0

m=-1

n-1=0

n=1

1/m+1/n=-1+1=0