X+5/2023+x+4/2022=x+3/2021+x+2/2020

2 bình luận về “X+5/2023+x+4/2022=x+3/2021+x+2/2020”

1. (x+5)/2023+(x+4)/2022=(x+3)/2021+(x+2)/2020

   <=>(x+5)/2023+(x+4)/2022-2=(x+3)/2021+(x+2)/2020-2

   <=>((x+5)/2023-1)+((x+4)/2022-1)=((x+3)/2021-1)+((x+2)/2020-1)

   <=>(x-2018)/2023+(x-2018)/2023=(x-2018)/2021+(x-2018)/2020

   <=>(x-2018)/2023+(x-2018)/2023-(x-2018)/2021-(x-2018)/2020=0

   <=>(x-2018)(1/2023+1/2022-1/2021-1/2020)=0

   Vì 1/2023+1/2022-1/2021-1/2020 \ne 0

   Nên

   x-2018=0

   x     =2018

   toVậy S={2018}

   Trả lời
2. Giải đáp:

    x = 2018

   Lời giải và giải thích chi tiết:

   (x+5)/2023 + (x+4)/2022 = (x+3)/2021 + (x+2)/2020

   <=> (x+5)/2023 -1 + (x+4)/2022 – 1 = (x+3)/2021 -1 + (x+2)/2020 – 1

   <=> (x-2018)/2023 + (x-2018)/2022 = (x-2018)/2021 + (x-2018)/2020

   <=> (x-2018)/2023 + (x-2018)/2022 – (x-2018)/2021 – (x-2018)/2020 = 0

   <=> (x-2018).(1/2023 + 1/2022 – 1/2021 – 1/2020) = 0

   <=> x – 2018 = 0

   <=> x = 2018

   Vậy x = 2018

   Trả lời