Question

m取何正整数时,关于x的方程x-(x-m)/2=(2-x)/3解是非负数

Answer 1

x-(x-m)/2=(2-x)/3

x-x/2+m/2=2/3-x/3

x/2+x/3=2/3-m/2

5x=4-3m

x=(4-3m)/5

∵x≥0

∴(4-3m)/5≥0

4-3m≥0

3m≤4

m≤4/3