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  • Okay, so here's another little fun problem

    好,這裡有另一個有趣的小問題

  • Since the division problem turned out to be so much fun the multiplication and division one. Here's another one that

    因為切割問題變為十分有趣的乘除,這有另外一題

  • Somebody pointed out to me

    某人提供給我的

  • so I think it's

    我想是這樣的:

  • just I don't know let's take a look so

    好吧我不知道,我們來看一下

  • So negative twenty well

    好所以..-20...好

  • That certainly equals negative 20 no arguments there, I think

    我想這個等式應該沒有人反對

  • Let's break up negative 20. I'm gonna break it up on the left

    我們把-20拆開 我先拆左邊的

  • I think I'm gonna write that as 16 minus 36 certainly you still get negative 20 there and

    我想我將會將它寫成16-36的型態,如此結果仍為-20

  • On the right side. I'm gonna write that as 25

    至於右邊的,我會拆成25

  • minus 45 okay, so

    減掉45,所以

  • Now I'm gonna rewrite things a little bit more

    現在,我要把算式再展開更廣

  • I'm gonna rewrite 16 is 4 squared and then I'm Gonna rewrite 36 as 4 times 9

    我要把16變成4的平方、36變成4乘以9

  • On the right side. I'm gonna rewrite 25 as just 5 squared and then I'm Gonna rewrite 45 as

    右邊,我要將25變為5的平方、45則變為

  • 5 times 9 and

    5乘以9

  • Alright, well, I think what I'm gonna. Do now is I'm Gonna add

    好,我想一下接下來我要怎麼做。

  • To both sides and the number that I'm gonna add to both sides is I'm Gonna add 81 over 4

    我現在要在兩邊同加81/4

  • All right, so that's what we've got so far

    好吧,這是我們目前得到的

  • well actually I think we can factor this now a little bit, so

    事實上,我覺得我們現在可以分解一下它

  • we can do a couple things here and

    我們可以把東西結合在一起

  • You know you can you can check that this all works, so I'm gonna leave the 4 squared alone

    你可以觀察一下整個算式,我要把4平方留著

  • We can just rewrite

    我們可以改寫成

  • 4/9 pretty easily, I'm Gonna write that as 2 Times 4

    4/9,很簡單。後面的改成2乘以4

  • times 9 over 2 so I'm just breaking up the 4 over 9 here a little bit and

    再乘以9/2。我在試圖分解4/9

  • then I'm Gonna rewrite 81 over 4 as

    接著再把81/4分解成

  • 9 Over 2

    9/2

  • Squared on the right side. I'm gonna do the same thing. So we've got 5 squared

    的平方。我要做跟剛剛一樣的事,所以我們留著5平方

  • What I'm gonna do here is I'm gonna write this as 2 times 5

    將後面的部分改為2乘以5

  • Times 9 over 2 and then plus 9 over 2 squared

    在乘以9/2,最後加上9/2的平方

  • Okay, so you know we're just basically just the Tube and the nine halves would cancel hey give us back our or our nine that

    好,所以現在你知道我們在算式中整理出了9/2

  • We had up there so all right so far so good well the reason why we do. This is this now factors nicely

    以及到目前為止我們做這些的原因

  • this actually factors as 4 minus 9 over 2

    接下來,我們將算式整理為4減9/2

  • Times 4 minus 9 over 2

    乘以4減9/2

  • And the right side is gonna factor as 5 5 minus 9 over 2

    而右邊則整理為5減9/2

  • Times 5 minus 9 over 2

    乘以5減9/2

  • All right, well

    好吧

  • What that tells us is well. We've got 4 minus 9 over 2

    所以,我們得到4減9/2

  • squared that equals

    的平方會等於

  • 5 minus 9 Over 2

    5減9/2

  • Squared and now well that means 4 minus 9 over 2 equals 5 minus

    的平方。同時也代表4減9/2會等於5減

  • 9 over 2 and

    9/2

  • well, we could add 9 over 2 to both sides so that tells us that 4 equals 5 and well if we subtract 4 from

    最後,我們可以將9/2放在同一邊、4和5在同一邊

  • both sides

    兩邊整理完後

  • That now tells us that 0 equals 1 so proof complete

    我們就能得到0等於1,故得證

Okay, so here's another little fun problem

好,這裡有另一個有趣的小問題

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A2 初級 中文 美國腔 平方 等於 分解 分解成 型態 切割

0=1的證明(你能發現錯誤嗎? (A Proof that 0 = 1 (Can You Spot the Mistake?))

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    Mumu Lin 發佈於 2021 年 01 月 14 日
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