问题
解答题
已知|m|=3,n2=16,且mn<0,求2m-3n的值.
答案
∵|m|=3,n2=16,
∴m=±3,n=±4,
又∵mn<0,
∴(1)当m=3,n=-4时,
2m-3n=2×3-3×(-4),
=6+12,
=18;
(2)当m=-3,n=4时,
2m-3n=2×(-3)-3×4,
=-6-12,
=-18.
综上所述,2m-3n的值为18或-18.
已知|m|=3,n2=16,且mn<0,求2m-3n的值.
∵|m|=3,n2=16,
∴m=±3,n=±4,
又∵mn<0,
∴(1)当m=3,n=-4时,
2m-3n=2×3-3×(-4),
=6+12,
=18;
(2)当m=-3,n=4时,
2m-3n=2×(-3)-3×4,
=-6-12,
=-18.
综上所述,2m-3n的值为18或-18.