( -1 ) + ( -3 ) + ( -5 ) + ….. + ( -x ) = -2500 10/11/2021 Bởi Eloise ( -1 ) + ( -3 ) + ( -5 ) + ….. + ( -x ) = -2500
`( -1 ) + ( -3 ) + ( -5 ) + ….. + ( -x ) = -2500` `⇔ 1 + 3 +5 + ….. + x = 2500` `[(x-1)/2+1].(x+1):2=2500` `[(x-1)×(x+1)]/2+x+1=5000` `⇔(x^2+1+2x)/2=5000` `⇔(x+1)^2=10000=(±100)^2` `⇔x+1=100 hoặc x+1=-100` `⇔x=99hoặc x=-101` Bình luận
`( -1 ) + ( -3 ) + ( -5 ) + ….. + ( -x ) = -2500`
`⇔ 1 + 3 +5 + ….. + x = 2500`
`[(x-1)/2+1].(x+1):2=2500`
`[(x-1)×(x+1)]/2+x+1=5000`
`⇔(x^2+1+2x)/2=5000`
`⇔(x+1)^2=10000=(±100)^2`
`⇔x+1=100 hoặc x+1=-100`
`⇔x=99hoặc x=-101`