（2）はなぜ判別式を立てる必要がないのですか？ 考え αとβが虚数解の場合があるかもしれないから実数解の時しか使うことの出来ない判別式を使う ⤴︎ このように考えました

CHART SOLUTION 解答 DO atecal 1 160.12 & 基本例題 49 2次方程式の解の存在範囲 (1) 00000 2次方程式x2+2(a-3)x+a+3=0の解が次の条件を満たすような定数a の値の範囲をそれぞれ求めよ。 (1) 異なる2つの正解をもつ (2) 異符号の解をもつ del so 0020 1 2次方程式の異なる2つの実数解 α, βの符号 ...... a>0 h¹> B>0 ⇒D>0, a+B>0, aß>01... I 正 正直 αとβが異符号 αβ<0 解と係数の関係を用いて, q+B, αBをaを用いて表す。 =(a-3)2-(a+3)=(a-1)(a-6) x2+2(a-3)x+a+3=0 の2つの解をα, βとし、判別式をD とすると 0+20 de=a +6 4 解と係数の関係により (a+3=-2(a-3),OB=a+3 (1) α, β が異なる正の数であるための条件は,次の ① ② ③ が同時に成り立つことである。 D>0 ...D, a+B>0 X² (α+²) x + √e = 0 2 ① から a <1,6<a ② から a <3 ③ から a> -3 ... (6) ④,⑤,⑥の共通範囲を求めて (2) α, βが異符号であるための条件は よって, 求めるαの範囲は a<-3 (軸の位置) > 0 f(0)>0 (2) f(0)<0 (p.715 [補足] 参照) 2, aß>0 ...... ③ INFORMATION 2次関数のグラフを利用 f(x)=x2+2(a-3)x+α+3 のグラ フを利用すると, α<β として (1) >0 -3<a<1 aß<0 (1) f(x)x=-(a-3) Oα B | p.70 基本事項 4 040 (2) 2次方程式、2段関係などの 次式で利用!! 4 (5) 7:0 4- 1 3 6 a ◆このとき, D>0は成り 立っている。 (p.704 解説 参照) f(x)↑ α 77 0 2章 x 7 解と係数の関係

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watching TV is a good way to Do you think get information? I think it is a information. I have two First, we can get information. to get good way reasons to think so. a source 0 f For example, if it become natural disaste we get Subjec can a nessecarry information, Second, We can know various For instead, To know various subjects help to know a world of trends. For these reasons I think it is to know information, a good way us

Q＆Aの問題を教えて欲しいです！ よろしくお願いしますm(*_ _)m

10 breakdancing. The first dance is the hula in Hawaii. It comes from the indigenous religion there. In ancient Hawaii, people showed their respect for gods by dancing. They also danced to pass on important values from generation to generation. That was because they had no formal writing system at the time. In other words, the hula was more than a leisure activity. In the hula, dancers use their hands to express G emotions and things in nature. The dancers believe that they can communicate various messages through 15 the hula. 5 How did the hula begin There are many dances around the world. Each of them has a unique background. Here, let's look at three styles of dancing: the hula, Irish dance, and フラダンスを踊るハワイ先住民の女性 ( 1938年) & A 1. Does each of the dances have a unique background? 2. What did people in Hawaii show by dancing? 3. What do hula dancers believe? 8 pass on ~ ~を伝える 8 from generation to generation t 10 at the time background [bækgraund] hula [húzlə] ◆Irish [áirifl breakdancing [bréikdansin] religion [rilídzən] ancient [éinfant] ) generation [dzènəréiſn] leisure [li:zər] » TF 1 2 • text • new words OXXO 3 10 writing system <H

（2）この回答を見ていて、１回読んだ時なぜ成り立つのだろうと思ったことを言います 第3項目（30二乗）より後ろの乗は全て900で割り切れると書いていて、 僕は頭の中で 30二乗が900で割り切れる ＝ 30の偶数乗が900で割り切れるんだ！と思って 奇数乗（30の三乗）と... 続きを読む

} 重要 例題 9 二項定理の利用 (1) 101100 の不位5桁を求めよ。 (2)295 900で割った余りを求めよ。 CHART OS めたら付けを求めまり OLUTION (1,2ともに,まともに計算するのは大変。 次のように変形して、 二項定理を利用する。 (1) 101=(100+1) 100 = (1+102) 100 (2) 2945 (30-1)45=(−1+30)45 (1) 各項に含まれる 10 に着目し, 下位5桁に関係する箇所のみを考える。 (2) 30²900 であるから30" を作り出す。 解答 (1) 101100(100+1) 100=(1+102)100 =1+100C1・102+100C2・10+100C3・10° + 100C4 ・10°+.･・・ +10200 =1+100C1・10°+100C2・10+10° (100C3 +100C4・102+….…….. +10194) ここで, α=100C3+ 100C4 ・102+･･････ + 10194 とおくと αは自然数で 101100=1+10000+49500000+10°a =10001+49500000 +10°α =10001+10 (495+10a) 10 (495+10a) の下位5桁はすべて 0 である。 よって, 101100 の下位 5桁は 10001 (2) 2945 (30−1)45=(−1+30) 45 #3 (21-1 + 45 x 30 2700 =(-1)45+45C1(-1)14・30- 30 - JC (-1) -1) 43.302+45C3(-1) 42.30) OFR 2143 ●第3項以降の項はすべて 302=900 で割り切れる。 また, (-1)^5=-1, (-1)^=1 であるから 1+45・1・30=1349=900・1+449 ok よって, 2945 900で割った余りは 449 34 基本 4 +...... +45C44 (1) ・304+3045) 19 INFORMATION 上と同じ考え方で,複雑な計算を暗算で行うことができる。 例えば,9992 は 9992(1000-1)=1000000-2000+1=998001,4989×5011 は 1章 ◆第1項と第2項の和は 900 より大きい。 3次式の展開と因数 4989×5011=(5000-11)×(5000+11)=5000²−11=25000000-121=24999879 と計算

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89 句と同義の句を作るように適当な一語を記入せよ。 1. That accounts ( ) his absence. [explains) 2. 4. 次の各文の下線の部分の()の中に, 〔 〕内に指示した語または 3. Mary takes ( ) her mother very much. (resembles) 5. 6. 7. 8. 9. This enterprise will call ( ) a lot of money. [require] Will you look ( ) my dog when I am away? [take care of] I'll stand ( ) you, so don't be afraid. [support) Carry ( ) these instructions exactly. [perform) You must look ( ) to your seniors at school. [respect] ) with his insolence. [endure) I can't put ( Take advantage ( this opportunity. (make use of] 10. I won't let you make fun ( ) me. [ridicule) (星薬大)

答えは③です。 ④が不正解の理由を教えてください。

ing 15. It is worth ( ) that agriculture is a fundamental form of culture. Jet Just add 3ste d 2 noted der/hav 3 noting omis gols doue (gaivad \1olton voy\nettiTW) Tot exigoloqe vleres 3noting my ch 4 to note 1 note

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。) 次の英文を能動態は受動態に、受動態は能動態に書きかえなさい。 1. Many Japanese children sing this song. 2. Her parents bought a wedding present. 3. English is spoken in the U.S. ito Social Media platform? Twitter, Instagram, Tiktok? Why? " fifty-five

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89 1. That accounts ( ) his absence. [explains) 2. This enterprise will call ( ) a lot of money. [require] 次の各文の下線の部分の()の中に, 〔 〕内に指示した語または 句と同義の句を作るように適当な一語を記入せよ。 3. Mary takes ( 5. 6. 7. 4. Will you look ( 8. 9. (resembles) ) her mother very much. ) my dog when I am away? (take care of] [respect] I'll stand ( ) you, so don't be afraid. [support) Carry ( ) these instructions exactly. [perform) You must look ( ) to your seniors at school. ) with his insolence. [endure) I can't put ( Take advantage ( ) this opportunity. (make use of] 10. I won't let you make fun ( ) me. [ridicule) (星薬大)

英検一級のライティングの添削をお願いしたいです。 Should the Japanese government encourage more immigration? というトピックで書きました。よろしくお願いします。

The Japanese government should encourage more immigration Problems such as lack of diversity, Japanese companies retreating from the world declining birth rate 39 there is a because market, and aging population with a can be solved by increasing immigration. Japan, although it is one of the advanced countries, lack of diversity. Except of big cities like Tokyo, there are only few foreigners. I think this is a set back to Japan while other countries are stepping foward by changing its own system, Japan is refusing to make a change to its old style, and I believe this is because Japan doesn't have abundant. perspectives. foreign countries to. By encouraging more immigration, they can provide many different views and stimulate Jahanese people. as of what does other countries. a image Japanese companies are retreating from the world market. Many Companies in Japan are producing overeng ineered expensive products that only targets Japanese customers and it is losing its power in other countries : If Japan accepts more immigrants Japanese companies. will be able to get detailed regire to their product and stay in the world market. Aging population and a declining birth rate is a huge problem in Japan right now. Because of it, companies are losing workers and young people will have to saffer with a lot of taxes in the future. Encouraging immigration can increase population and solve. these problems more By encouraging more immigrations, many problems that Japan is facing can be solved.

問題が英語ですみません。あるイオン(mg/kg=ppm)が海（1.027 g/mL）にある時のの密度（M）の求め方がわかりません。 chlorideの場合、0.531や 0.546Mなど試しているうちに答えが複数出てきてしまいどうやるのが正解か分からなくなってしまいました。... 続きを読む

TAKE-HOME QUIZ: Solutions 1. The table below gives concentrations of ions in natural waters. a) Given the densities indicated, determine the molarity of each of the ions. Attach work. [9.750 1950 OCEAN: 1.027-1022 10.7768 mL ion name chloride sodium sulfate magnesium calcium potassium bicarbonate bromide strontium average OCEAN concentration mg/kg (ppm) molarity (M) 19350 (9.3514A 10760 2710 1290 411 399 142 0.14 67 0.067g 8008 7 Nat 7+ 10 ( 39+ L 16 Ca²+ 32+ M = mo RIVER: 1.003 b) All solutions must be CHARGE BALANCED, meaning the total number of positive charges must equal the total number of negative charges. Here's an example: average RIVER concentration mg/kg (ppm) molarity (M) 5.750.0575 5.15 0.0515 8.250.0825 3.350003 13.400134 1.30001 520.052g N/A N/A mL 13 SO4²- 26- total charge: balance: Demonstrate that seawater is charge balanced based on the information in the table. 39- 13 Cr 13-