若a、b满足a^2-3ab+2b^2=6,且a-2b=3,则a-b=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/08 21:30:37
若a、b满足a^2-3ab+2b^2=6,且a-2b=3,则a-b=?
x){ѽ4qCcҳ _lۜgkmgdkdǔD]$[c3ulmI֣_`gCMBt55@5bO{7kD|F6yvPm [g Ov/ũ[R

若a、b满足a^2-3ab+2b^2=6,且a-2b=3,则a-b=?
若a、b满足a^2-3ab+2b^2=6,且a-2b=3,则a-b=?

若a、b满足a^2-3ab+2b^2=6,且a-2b=3,则a-b=?
a^2-3ab+2b^2=6
(a-b)(a-2b)=6
即3(a-b)=6
a-b=2

(a-b)(a-2b)=6
a-2b=3
所以a-b=2

a^2-3ab+2b^2=6
(a-b)(a-2b)=6
a-b=2