Question

已知M>0,m减m分之1等于3,求m加m分之1等于多少,要求计算过程,

Answer 1

m-1/m=3

(m-1/m)²=3²

m²-2m*(1/m)+1/m²=9

m²-2+1/m²=9

m²+2+1/m²=9+4

m²+2m*(1/m)+1/m²=13

(m+1/m)²=13

m+1/m=根号13