グローバルビジネスで役立つ数学（77）合同式の利用（英語版）

Hi there!

Do you live in a house with mod cons?

――Come on! Do I live with convicts and con artists?

Wow, don’t take me wrong. You might not want to judge prematurely. I’m asking you if you live with “modern conveniences.” That’s what I’m driving at.

You can think of a smart house or any residential amenities that entirely use IT, AI, or IoT. Sounds very natural for the generation Zers; however, convenience is somewhat dull and unexcitingly static to me.

When I was in the U.S as a business consultant., I visited a resort area where a retiree can enjoy the rest of their life. Nothing complained about the presence of the beautiful sea, community centers, fancy restaurants, and bijou cafes. … No offenses, but that’s boring for me.

In retrospect, I left my house for motorcycle touring on New Year’s Eve a long time ago. It was a shivering day. I don’t know why, but I wanted to feel, face nature and escape the Japanese rituals.

――Nature challenges me, so I can feel I’m alive.

Boarding a cruise ship would never be my option to enjoy my life.

The mod cons seem nothing but product or embodiment of scientists. I would instead opt for natural life than the one surrounded by a bunch of gimmicks.

Today, I challenge a mod word problem to be presumably asked for uni entrance exams.

When an integer \(n\) is divided by 9, that leaves a remainder of 4. Find the remainder after the quadratic formula \(n^{2} + n + 1\) is divided by \(9\).

Here is my solution to the problem.

Since \(n\equiv 4\,\)(mod\(\,9\)),

\(n^{2} + n + 1 = 4^{2} + 4 + 1 = 21\equiv 3\,\)(mod\(\,9\)).

Therefore, we’ve got the remainder of \(3\).

Stay tuned, and expect to see my next post.

Keep well.

Frank Yoshida

￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣
【グローバルビジネスで役立つ数学】でもっと学習する b＾＾)
【参考図書】『もう一度高校数学』（著者：高橋一雄氏）株式会社日本実業出版社
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