1 : x + 2 : x + 3 : x + … + 100 : x =101

Question

bichha · Answer

`1 : x + 2 : x + 3 : x + .... + 100 : x = 101`     `&hArr; ( 1 + 2 + 3 + ... + 100 ) : x = 101`     `&hArr; 5050 : x = 101`     `&hArr; x = 5050 : 101`     `&hArr; x = 50`     Vậy` ....`

mytam · Answer

Đ&aacute;p &aacute;n:   `x=50`   Giải th&iacute;ch c&aacute;c bước giải:   `1&divide;x+2&divide;x+3&divide;x+...+100&divide;x=101`   `=>1xx 1/x+2xx 1/x+3xx 1x+...+100xx 1/x=101`   `=>(1+2+3+...+100)xx1/x=101`   `=>((100+1)xx100)/2xx1/x=101`   `=>(101xx100)/2xx1/x=101`   `=>101xx50xx1/x=101`   `=>50xx1/x=101&divide;101`   `=>50xx1/x=1`   `=>1/x=1&divide;50`   `=>1/x=1/50`   `=>x=50`   Vậy `x=50`.

1 : x + 2 : x + 3 : x + … + 100 : x =101

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