Tìm X : x-1/99+x-3/97+x-5/95
Tìm X : x-1/99+x-3/97+x-5/95
By aihong
By aihong
`(x-1)/99+(x-3)/97+(x-5)/95<(x-2)/98+(x-4)/96+(x-6)/94`
`⇔(x-1)/99-1+(x-3)/97-1+(x-5)/95-1<(x-2)/98-1+(x-4)/96-1+(x-6)/94-1`
`⇔(x-100)/99+(x-100)/97+(x-100)/95-(x-100)/98-(x-100)/96-(x-100)/94<0`
`⇔(x-100)(1/99+1/97+1/95-1/98-1/96-1/94)<0`
`⇔x-100>0`
`⇔x>100`
Đáp án:
Giải thích các bước giải:
` (x-1)/99+(x-3)/97+(x-5)/95<(x-2)/98+(x-4)/96+(x-6)/94`
`=>((x-1)/99-1)+((x-3)/97-1)+((x-5)/95-1)<((x-2)/98-1)+((x-4)/96-1)+((x-6)/94-1)`
`=>(x-1-99)/99+(x-3-97)/97+(x-5-95)/95<(x-2-98)/98+(x-4-96)/96+(x-6-94)/94`
`=>(x-100)/99+(x-100)/97+(x-100)/95-(x-100)/98-(x-100)/96-(x-100)/94<0`
`=>(x-100)(1/99+1/97+1/95-1/98-1/96-1/94)<0`
Vì `(1/99+1/97+1/95-1/98-1/96-1/94)<0`
`=>x-100>0`
`=>x>100`