Toán tìm x biết x+1/156+x+2/155+x+3/154+x+257/30=0 07/09/2021 By Savannah tìm x biết x+1/156+x+2/155+x+3/154+x+257/30=0
Tham khảo Sửa:`\frac{x+257}{30}→\frac{x+247}{30}` `⇒\frac{x+1}{156}+\frac{x+2}{155}+\frac{x+3}{154}+\frac{x+257}{30}=0` `⇒(\frac{x+1}{156}+1)+(\frac{x+2}{155}+1)+(\frac{x+3}{154}+1)+(\frac{x+257}{30}-3)=0` `⇒\frac{x+157}{156}+\frac{x+157}{155}+\frac{x+157}{154}+\frac{x+157}{30}=0` `⇒(x+157)(\frac{1}{156}+\frac{1}{155}+\frac{1}{154}+\frac{1}{30})=0` Do `\frac{1}{156}+\frac{1}{155}+\frac{1}{154}+\frac{1}{30} \ne 0` `⇔x+157=0` `⇔x=-157` `\text{©CBT}` Trả lời
Giải thích các bước giải: Sửa đề: `257/30 -> 247/30` `(x+1)/156 + (x+2)/155 + (x+3)/154 + (x+257)/30 = 0` `=> ((x+1)/156 + 1) + ((x+2)/155+1) + ((x+3)/154 + 1) + ((x+247)/30 – 3) = 0` `=> (x+157)/156 + (x+157)/155 + (x+157)/154 + (x+157)/30 = 0` `=> (x+157)(1/156 + 1/155 + 1/154 + 1/30)=0` `=> x+157=0` `=> x= -157` Trả lời
Tham khảo
Sửa:`\frac{x+257}{30}→\frac{x+247}{30}`
`⇒\frac{x+1}{156}+\frac{x+2}{155}+\frac{x+3}{154}+\frac{x+257}{30}=0`
`⇒(\frac{x+1}{156}+1)+(\frac{x+2}{155}+1)+(\frac{x+3}{154}+1)+(\frac{x+257}{30}-3)=0`
`⇒\frac{x+157}{156}+\frac{x+157}{155}+\frac{x+157}{154}+\frac{x+157}{30}=0`
`⇒(x+157)(\frac{1}{156}+\frac{1}{155}+\frac{1}{154}+\frac{1}{30})=0`
Do `\frac{1}{156}+\frac{1}{155}+\frac{1}{154}+\frac{1}{30} \ne 0`
`⇔x+157=0`
`⇔x=-157`
`\text{©CBT}`
Giải thích các bước giải:
Sửa đề: `257/30 -> 247/30`
`(x+1)/156 + (x+2)/155 + (x+3)/154 + (x+257)/30 = 0`
`=> ((x+1)/156 + 1) + ((x+2)/155+1) + ((x+3)/154 + 1) + ((x+247)/30 – 3) = 0`
`=> (x+157)/156 + (x+157)/155 + (x+157)/154 + (x+157)/30 = 0`
`=> (x+157)(1/156 + 1/155 + 1/154 + 1/30)=0`
`=> x+157=0`
`=> x= -157`