已知1/x-1/x=3,则代数式(2x-14xy-2y)/(x-2xy-y)的值为? 求过程!!!!!!!!!!
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- 2024-05-24 12:59:58
已知1/x-1/y=3,则代数式(2x-14xy-2y)/(x-2xy-y)的值为多少?
前面一个问题答案是4 (2x-14xy-2y)/(x-2xy-y) =(2/y-14-2/x)/(1/y-2-1/x) (即分子分母同除以xy) =(-20)/(-5) (即代入1/x-1/y=3) =4 追问的那个问题呢, (1) y=60/x (2) w=y*(x-2)=60(x-2)/x=60-120/x (2≤x≤10) 根据反比例函数的单调性,当x=10时,w取到最大,为48已知1/x-1/y=3,求代数式2x-14xy-2y/x-2xy-y的值
解: 由1/x-1/y=1,变形 两边各乘以xy,得,y-x=3xy,∴xy=1/3(y-x), (2x-14xy-2y)/(x-2xy-y) =[2x-14/3(y-x)-2y]/ [ x-2/3(y-x)-y) ], 分式上下各乘以3,并展开括号,得 3(2x-14/3y+14/3x-2y)/3(x-2/3y+2/3x-y) =(6x-14y+14x-6y)/(3x-2y+2x-3y) =(20x-20y)/(5x-5y) =4(5x-5y)/(5x-5y) =4 祝学习进步已知1/x-1/y=3,求(2x-14xy-2y)/(x-2xy-y)的值
同学你好! 这道题的话,分子分母同时除以(XY),就会发现,分子变成了(2/y-14-2/x),分母变成了(1/y-2-1/x),根据已知条件,变换一下可得[2(1/y-1/x)-14]/[(1/y-1/x)-2] 代入1/x-1/y=3,可得结果为4 觉得好请采纳!已知1/x-1/y=3,则代数式2x-14xy-2y/x-2xy-y的值为多少?
解:∵1/ x -1/ y =3, ∴y-x=3xy, ∵原式=2x-2y-14xy /(x-y)-2xy =2(x-y)-14xy /(x-y)-2xy , 将x-y=-3xy代入得: ∴原式=2×(-3xy)-14xy /-3xy-2xy =-20xy /-5xy =4. 故答案为4.已知1/x-1/y=3,则代数式2x-14xy-2y/x-2xy-y的值为多少?
1/x-1/y=3 (y-x)/xy=3 y-x=3xy x-y=-3xy (2x-14xy-2y)/(x-2xy-y) =[2(x-y)-14xy]/(x-y-2xy) =[2*(-3xy)-14xy]/(-3xy-2xy) =-20xy/(-5xy) =4展开全文阅读
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