tìm x biết x-1/2019 +x-2/2018+x-3/2017=3 26/11/2021 Bởi Valentina tìm x biết x-1/2019 +x-2/2018+x-3/2017=3
Đáp án: `(x-1)/2019+(x-2)/2018+(x-3)/2017=3` `<=>(x-1)/2019+(x-2)/2018+(x-3)/2017-3=0` `<=> ((x-1)/2019 -1)+((x-2)/2018 -1)+((x-3)/2017 -1)=0` `<=> (x-2020)/2019+(x-2020)/2018+(x-2020)/2017=0` `<=> (x-2020).(1/2019+1/2018+1/2017)=0` Mà `1/2019+1/2018+1/2017>0` `<=> x-2020=0` `<=> x=2020` Bình luận
Đáp án:
`(x-1)/2019+(x-2)/2018+(x-3)/2017=3`
`<=>(x-1)/2019+(x-2)/2018+(x-3)/2017-3=0`
`<=> ((x-1)/2019 -1)+((x-2)/2018 -1)+((x-3)/2017 -1)=0`
`<=> (x-2020)/2019+(x-2020)/2018+(x-2020)/2017=0`
`<=> (x-2020).(1/2019+1/2018+1/2017)=0`
Mà `1/2019+1/2018+1/2017>0`
`<=> x-2020=0`
`<=> x=2020`