Question

Tìm m, n sao cho :

\(\frac{1}{m}+\frac{n}{6}=\frac{1}{2}\)

Answer 1

m bang 3

n bằng 2

Answer 2

Ta có \(\frac{1}{m}\)+\(\frac{n}{6}\)=\(\frac{1}{2}\)

            \(\frac{1}{m}\)=\(\frac{1}{2}\)-\(\frac{n}{6}\)

             \(\frac{1}{m}\)=\(\frac{3}{6}\)-\(\frac{n}{6}\)

              \(\frac{1}{m}\)=\(\frac{3-n}{6}\)

=>m*(3-n)=6

=>3-nEƯ(6)

Ta có bảng giá trị

3-n	1	2	3	6	-1	-2	-3	-6
m	6	3	2	1	-6	-3	-2	-1
n	2	1	0	-3	4	5	6	9

 

Answer 3

Ta có : 1/m+n/6=1/2

              1/m      = 1/2-n/6

              1/m      = 3/6-n/6

              1/m      = 3-n/6

         => m.(3-n) = 1.6

         => m.(3-n) = 6

         => 3-n ϵ Ư( 6 )= {-1;1;-2;2;-3;3;-6;6}

Ta có bảng sau :

3-n	-1	1	-2	2	-3	3	-6	6
m	-6	6	-3	3	-2	2	-1	1
n	4	2	5	1	6	0	9	-3