作业帮已知xy+1/x=3,y^2+xy=6则3/x+5xy+2y^2的值是多少急
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已知xy+1/x=3,y^2+xy=6则3/x+5xy+2y^2的值是多少急
已知xy+1/x=3,y^2+xy=6则3/x+5xy+2y^2的值是多少急
已知xy+1/x=3,y^2+xy=6则3/x+5xy+2y^2的值是多少急
3/x+5xy+2y^2
=3（1/x+xy）+2（y^2+xy)
=3*3+2*6
=9+12
=21
1/x=3-xy,y^2=6-xy
代入方程
3*（3-xy）+5xy+2*(6-xy)=9-3xy+5xy+16-2xy=-7
3/x+5xy+2y^2
=3/x+3xy+2xy+2y^2
=3(xy+1/x)+2(y^2+xy)
=3×3+2×6
=21
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