Tìm \(n\in Z\)để \(\frac{n^2+n-5}{n+2}\)là số nguyên
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\(\frac{-1}{2}+\frac{3}{21}+\frac{-2}{6}+\frac{-5}{30}\)
\(\frac{-1}{2}+\frac{1}{7}+\frac{-1}{3}+\frac{-1}{6}\)
\(\frac{-21}{42}+\frac{6}{42}+\frac{-14}{42}+\frac{-7}{42}\)
\(\frac{-36}{42}=-\frac{6}{7}\)
\(\left(6-2\frac{4}{5}\right).3\frac{1}{8}-1\frac{3}{5}:\frac{1}{4}\)
\(=\left(6-\frac{14}{5}\right).\frac{25}{8}-\frac{8}{5}:\frac{1}{4}\)
\(=\frac{16}{5}.\frac{25}{8}-\frac{32}{5}\)
\(=10-\frac{32}{5}\)
\(=\frac{18}{5}\)
sorry, mik ko biết vẽ trên này thế nào
b. Ta thấy: OD là tia đối của tia OB
=> \(\widehat{BOD}\)là góc bẹt = \(^{180^0}\)
=> \(\widehat{DOC}+\widehat{COB}=\widehat{DOB}\)
=> Góc kề bù với \(\widehat{BOC}\)là \(\widehat{DOC}\)
=> \(\widehat{DOC}=\widehat{DOB}-\widehat{COB}\)
Mà: \(\widehat{COB}=\widehat{COA}-\widehat{BOA}\)
=>\(\widehat{COB}=80^0-35^0\)
=>\(\widehat{COB}=45^0\)
Thay:\(\widehat{DOB}=180^0,\widehat{COB}=45^0\)
=> \(\widehat{DOC}=180^0-45^0\)
=>\(\widehat{DOC}=135^0\)
1. I (have) ____will have_____ a UFO in the future.
2. We (be) ___have been______ to Ha Noi many times.
3. I (not go) _______didn't go_________ to school last Sunday.
4. Yesterday my friends and I (play)_______played________ sports in the school yard.
5. Peolple might (live) ______live______ on the moon
Give the corrcet form of the verbs:
1. I (have) ___will have______ a UFO in the future.
2. We (be) ____have been_____ to Ha Noi many times.
3. I (not go) ________didn't go ________ to school last Sunday.
4. Yesterday my friends and I (play)______played_________ sports in the school yard.
5. Peolple might (live) ______live______ on the moon.
1 Robots/not only/talk/people/but/understand/what they think.
\(\Rightarrow\) Robots don't only talk to people but also understand what they think.
2. Robots/recognise/our voices/faces/they/not/ think//human.
\(\Rightarrow\) Robots can recognise our voices and faces but they don't think they human.
3.You/think/robots/build house/sea/us ?
\(\Rightarrow\) Do you think robots can build house by the sea for us?
4 i/agree/you/that/life/more comfortable/future .
\(\Rightarrow\)I agree with you that life will mỏe comfortable in the future.
5.More people/lose/job/robots/do/many kinds/jobs.
\(\Rightarrow\)More people lose job but robots can do many kinds of jobs.
để \(\frac{n^2+n-5}{n+2}\)nguyên \(\Leftrightarrow n^2+n-5⋮n+2\)
\(\Leftrightarrow n^2+2n-n-5⋮n+2\)
\(\Leftrightarrow n.\left(n+2\right)-n-5⋮n+2\)
mà \(n.\left(n+2\right)⋮n+2\)
\(\Rightarrow n-5⋮n+2\)
\(\Rightarrow n+2-7⋮n+2\)
mà \(n+2⋮n+2\)
\(\Rightarrow7⋮n+2\)
em tự làm típ nhé
Điều kiện xác định:\(n\ne-2\)
Ta có:
\(\frac{n^2+n-5}{n+2}=\left(n-1\right)-\frac{3}{n+2}\) (chia đa thức, có \(-\frac{3}{n+2}\)vì chia dư -3)
Để \(\frac{n^2+n-5}{n+2}\) là số nguyên
=> \(3⋮n+2\)
=>\(\left(n+2\right)\inƯ\left(3\right)\)
=>\(\left(n+2\right)\in\left\{-3;-1;1;3\right\};n\in Z\)
=>\(n\in\left\{-5;-3;-1;1\right\}\)