x- $\frac{8}{25}$= $\frac{8}{9}$ x $\frac{15}{16}$ x $\frac{24}{25}$ x…x $\frac{2499}{2500}$
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x- $\frac{8}{25}$= $\frac{8}{9}$ x $\frac{15}{16}$ x $\frac{24}{25}$ x…x $\frac{2499}{2500}$
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`x – 8/25 = 8/9 xx 15/16 xx 24/25 xx …. xx 2499/2500`
`x – 8/25 =` $\frac{8 * 15 * 24 * …. * 2499}{9 * 16 * 25 * …. * 2500}$
`x – 8/25 = ` $\frac{( 2 * 4 ) * ( 3 * 5 ) * …. ( 49 * 51 )}{( 3 * 3 ) * ( 4 * 4 ) * ( 5 * 5 ) * …. ( 50 * 50 )}$
`x – 8/25 = `$\frac{2 * 3 * ….. * 49 }{3 * 4 * 5 * …. * 50}$ * $\frac{4 * 5 * ….. * 51}{3 * 4 * …. * 50}$
`x – 8/25 = 1/25 xx 17`
`x – 8/25 = 17/25`
`x = 17/25 + 8/25`
`x = 1`
Vậy , `x = 1`
Đáp án:
`x=1`
Giải thích các bước giải:
`x-8/25=8/9 xx 15/16 xx … xx 2499/2500`
`to x-8/25=(8xx15xx…xx2499)/(9xx16xx…xx2500)`
`to x-8/25=(2xx4xx3xx5xx…xx49xx51)/(3xx3xx4xx4xx…xx50xx50)`
`to x-8/25=(2xx3xx….xx49)/(3xx4xx…xx50) xx (4xx5xx…xx51)/(3xx4xx…xx50)`
`to x-8/25=2/50 xx 51/3`
`to x-8/25=17/25`
`to x=17/25+8/25=1`
Vậy `x=1`