问一道分式题: 已知x/y=2/7,求分式x²﹣3xy﹢2y²/x²-9xy﹢7y²的值. 急需!

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/13 15:28:54
问一道分式题: 已知x/y=2/7,求分式x²﹣3xy﹢2y²/x²-9xy﹢7y²的值. 急需!

问一道分式题: 已知x/y=2/7,求分式x²﹣3xy﹢2y²/x²-9xy﹢7y²的值. 急需!
问一道分式题: 已知x/y=2/7,求分式x²﹣3xy﹢2y²/x²-9xy﹢7y²的值. 急需!

问一道分式题: 已知x/y=2/7,求分式x²﹣3xy﹢2y²/x²-9xy﹢7y²的值. 急需!
x/y=2/7,令x=2t,y=7t.
则有(4t^2-3*2t*7t+2*49t^2)/(4t^2-9*2t*7t+7*49t^2)=60t^2/225t^2=4/7

X/y=2/7,7x=2y.用3.5x=y代入分式即可

(x²-3xy+2y²)/(x²-9xy+7y²) 分子分母同时除以y²
=(x²/y²-3xy/y²+2y²/y²)/(x²/y²-9xy/y²+7y²/y²)
=(x²/y²-3x/y+2)/(x²...

全部展开

(x²-3xy+2y²)/(x²-9xy+7y²) 分子分母同时除以y²
=(x²/y²-3xy/y²+2y²/y²)/(x²/y²-9xy/y²+7y²/y²)
=(x²/y²-3x/y+2)/(x²/y²-9x/y+7)
=[(2/7)²-3*2/7+2]/[(2/7)²-9*2/7+7]
=[4/49-6/7+2]/[4/49-18/7+7]
=[4/49-42/49+98/49]/[4/49-126/49+343/49]
=[4-42+98]/[4-126+343]
=60/221

收起