f(x)のところはfじゃなきゃダメですか？ P(x)で置いても大丈夫ですか？

100 基本例題63 解から係数決定(虚数解) OOO00 3次方程式 x°+ax+bx+10=0 の1つの解が x=2+i であるとき、史 の定数 a, bの値と他の解を求めよ。 (山梨学院大) p.94 基本事項2, 基本 62 AOIRUNI CHART OSOLUTION x=α がf(x)30 の解 → f(α)=0 代入する解は1個 (x=D2+i) で, 求める値は2個 (aとb)であるが, 複素数の相等 A, Bが実数のとき A+Bi=0 A30 かつ B=0 により, a, bに関する方程式は2つできるから, a, bの値を求めることができる。 また,実数を係数とする n次方程式が虚数解 α をもつとき, 共役な複素数αも 解であることを用いて, 次のように解いてもよい。 別解1,2 αとαが解であるから,方程式の左辺は(x-α)(x-α) すなわち x°-(α+a)x+aa で割り切れることを利用する。 3つ目の解をんとして, 3次方程式の解と係数の関係を利用する。 別解3 解答 |inf. x-2=iと変形して 両辺を2乗すると x°-4x+5=0 x=2+i がこの方程式の解であるから (2+)°+a(2+)?+6(2+i)+10=0 ここで,(2+i)=2°+3·2°%+3·2ポ+パ=2+11i, 81=D6 これを利用して (2+)°=2°+2.2i+ぴ=3+4i であるから ー +ax+bx+10 の次数を 2+11i+a(3+4i)+6(2+)+10=0 ( ( 下げる方法(別解1の3行 0+x1-(目以降と同じ)もある。 8 とすると、 他方 iについて整理すると (b.89 基本例題56 参照) 3a+26+12+(4a+b+11)i=0 3a+26+12, 4a+b+11 は実数であるから 全この断り書きは重要。 A, Bが実数のとき 3a+26+12=0, 4a+b+11=0 0ヶ預の a=-2, b=-3 x°-2x°-3x+10=0 A+Bi=0 これを解いて ゆえに,方程式は f(x)=x°-2x?2_3x+10 とすると C-x)(1-3)- → A=0 かつ B=0 こる 開題国 f(-2)=(-2)°-2·(-2)?-3·(-2)+10=0 =-IS よって,f(x)は x+2 を因数にもつから s-ー )-合益立除法 f(x)=(x+2)(x?2_4x+5) 10 -2 1 -2 -3 8-=o 81=d -2 8 -10 したがって,方程式は (x+2)(x°-4x+5)=0 x+2=0 または x°-4x+5=0 ゆえに 1 -4 5 0 x2-4x+5=0 を解くと x=2±i よって, 他の解は x=-2, 2-i

質問についての答え方はこれで合っていますか？教えて下さい🙇‍♀️使用した文には赤ペンを引いております。 補足：本文を載せておきました

○区切りごとに意味をとりながら、音読しなさい。 B 0 One day in 1988, / however, / she got a call / and found out / that her mother was seriously ill. // ② She returned to her country/ to visit her mother in the hospital. // ③ This visit of hers/ coincided with 彼女のこの訪問 widespread demonstrations in Myanmar. // ④ People were suffe ring /irom the pppression of the government. // 5 Soon after she arrived in Myanmar, / the group opposing the government / visited Aung San Suu Kyi / and asked her to become their leader. // ⑥ She accepted this offer, / and she organized」 demonstrations / and gave public speeches. // O Because of her activities, / she was placed under house arrest / in 1989.// 8 At that time, / little did she know / that her house arrest would last / for about 20 自宅軟禁 she knew little years. // しかし,1988年のある日, 彼女は1本の電話を受けて,母親が重い病気であることを知り 訳:3 ました。病院にいる母親を見舞うため,彼女は祖国に戻りました。彼女のこの訪問は, ミャンマー でのデモが広範囲に及んでいた時期と一致していました。人々は府の圧制に苦しんでいたのです。 彼女がミャンマーに到着したあとすぐ, 政府に反対するグループがアウンサンスーチーを訪れ,か れらの指導者になってくれるよう彼女に頼みました。彼女はこの申し出を受け入れ, デモを組織し, 公の場での演説を行いました。その活動のために,彼女は1989年に自宅軟禁の状態に置かれました。 そのとき,自宅軟禁がおよそ20年間も続くことになるとは, 彼女には知るよしもありませんでした。

T(正しい)かF(間違っている)かという問題なのですが、合っていますか？教えて下さい🙇‍♀️ 補足：本文を載せておきました

○区切りごとに意味をとりながら、 音読しなさい。 B 0 One day in 1988, / however, / she got a call / and found out / that her mother was seriousl ill. // 2 She returned to her country / to visit her mother in the hospital. // ③ This visit of hers /concided with 彼女のこの訪問 widespread demonstrations in Mlyanmar. // ④ People were suffering /rom the pppression of the government. // 5 Soon after she arrived in Myanmar, / the group opposing the government / visited Aung San Suu Kyi / and asked her to become their leader. // ⑥ She accepted this offer, / and she organized demonstrations/ and gave public speeches. // O Because of her activities, / she was placed under house arrest / in 1989. // ®) At that time,/little did she know / that her house arrest would last / for about 20 自宅軟禁 she knew little years. // 訳:図 しかし, 1988年のある日, 彼女は1本の電話を受けて, 母親が重い病気であることを知り ました。病院にいる母親を見舞うため, 彼女は祖国に戻りました。彼女のこの訪間は,ミャンマー でのデモが広範囲に及んでいた時期と一致していました。人々は政府の圧制に苦しんでいたのです。 彼女がミャンマーに到着したあとすぐ, 政府に反対するグループがアウンサンスーチーを訪れ, か れらの指導者になってくれるよう彼女に頼みました。彼女はこの申し出を受け入れ, デモを組織し, 公の場での演説を行いました。その活動のために,彼女は1989年に自宅軟禁の状態に置かれました。 そのとき,自宅軟禁がおよそ20年間も続くことになるとは,彼女には知るよしもありませんでした。

f(x)が奇関数、g(x)が偶関数のとき、次の関数は奇関数か、偶関数か、奇関数でも偶関数でもないか。 ①y=fㅇg(x) ②y=fㅇf(x) ③y=gㅇg(x) という問題の答えを知りたいです。解説は出来ればで構いません。よろしくお願いします。

4,5,6,7,10,11,13,14番の解説をお願いします。

「動勉な」 He is sorry for (( 4) diligent while he was in college. 完の 急()) の not been 2 not to be ③ not having had ④ not having been We talked about ((2)) on our usual trip this summer. 2 not going 1 not to go ③ not to going 4 to not to go I cannot understand her ((1) ) to such a dangerous place alone. 0 going ② go 3 gone の have gone 「キ荷物」 「ま張する」 My little brother insisted ( ) his baggage. 0 me on carrying on me to carry 3 me to carry on my carrying She escaped by climbing over the wall without (C ② seeing (1) to be seen ③ to be seeing being seen I The foreignerwas used to ( ② eating )Japanese food. ③ have eaten being eaten (D eat the first of students to attend that college. ( They arevery proud of ( (2 ② going group for 3 having been 4) to have been He is proud (() late for school. never have been (2) never of being ③ in never being ④ of never having been They(are very proud of ( (4) ) students of that college. (2 not to be 3 to be ④ being の being not T(10) Thereis ( (9) what will happen in the future. 0 no telling ③ not telling not to tell (2) no tell T() Iam looking forward ( (1)) you. ③ to seeing ④ seeing (1) to see 2) see Hewas busy (() his lessons. ② for preparing ③ from preparing ④ preparing to prepare

問6，7を至急お願いします🙇‍♂️

Educational situation in Pakistan Why did she receive the Nobel Peace Prize? (1)It was because she was speaking up for the right of all children to have an education. Malala was born in a mountainous area in northern Pakistan in 1997. The area became Controlled by terrorists, a group of Islamic extremists. 2They did not believe that girls should receive an education and they destroyed many girls' schools. Asymbol of girls' education Malala wanted to study in school. () She thought that girls as well as boys should go to school. When she was eleven years old, she wrote on her blog about these ideas and her fear of the terrorists. Her strong spirit (40moved many people, and she became a symbol of girls' education. The terrorists did not like Malala's ideas. In October, 2012, she was (6)( shoot) by them while (6(ride) in a school bus. Malala almost died but fortunately was saved by doctors at a British hospital. Later, she started (m) (study) at a British girls' school Today she continues (8( work ) for girls' education rights. This is the beginning After (9(win) the Nobel Peace Prize, Malala said: “This is not the end of the campaign which I have started. I think (10)this is really the beginning. I want to tell other children all around the world that they should stand up for their rights.(11)They should not wait for someone else." AR 始 / (e よ

画像の問題で、1〜4の中で文法的に間違っているものを選んで正しく直すという問題です。答えは3を「should be recalled」にするということだったのですが、「urged」と過去形があるので、時制の関係で「should have been recalled」になるの... Read More

Te Bill tl using yo Yes, The consumer, group (1)urged.that (2)all the defective tires (3)should recall (4)immediately. yq nor srce (法政大) boar 8 98u 98 binos . By this time next vear. our new office will ( )in Canado

The gold rush that followed attracted many prospectors の構文教えて頂きたいです🙇‍♀️

world/ for forty thousand years.. The veil would_not be lifted Aintil gold was e discovered in a *tributary/ of one of the main rivers."The gold rush that followed attracted many prospectors, including Michael Leahy, an Australian who on May 26, 1930) set out to look for gold/in the mountains/with a fellow prospector/ anda group of native lowland people hired as carriers

なんで1800円抜いてるのでしょうか？

B You visited your high school website and found information about_a walking tour in Kyoto. High School Website The English club is hosting a walking tour in Kyoto for the students and teachers who are visiting from our sister school in Sydney, Australia. We 5 are inviting the students of this school to join us, and any parents who want to volunteer to be guides are welcome, too. We have rented drop us off close to Kinkakuji and pick us up close to Ninnaji Temple. bus that will The leaves are beginning to turn color, so Kyoto will be especially beautiful. But it may also be very crowded with tourists. Hopefully, there will be fewer people at the second and third World Heritage Sites. 10 Walking Tour Schedule 7:30 a.m. The bus leaves from the school parking lot. 9:00 a.m. Enter the grounds of Kinkakuji. へ00 00 (World Heritage Site, Admission: 400 yen) 15 11:00 a.m. Enter the grounds of Ryoanji Temple as a group. (World Heritage Site, Admission 500 yeny 200 12:30 p.m. Eat lunch at Shojin Ryori Restaurant. (The standard course meal: /1,800 yen) 2:00 p.m. Enter the grounds of Ninnaji Temple as a group. (World Heritage Site, Admission: 500 yeny 20 3:30 p.m. The chartered bus will take everyone back to the school parking lot. ●Students may choose not to ride buses between the temples, especially if the weather is good, but the adults should keep in mind that it takes about an hour to walk around each place, we will be visiting/ It might be 25 a good idea for them to spend some time relaxing at cafés or tea shops and then ride buses instead of walking. To register to join the tour, click here. To join the lunch at Shojin Ryori Restaurant, click here. 1-6

一番目が問題で二問目が答えなんでがわかる方教えください

EVALUATING FUNCTIONS The symbol f(x) represents the real number in the range of the function f corresponding to the domain value x. Symbolically, f:x→f(x). The ordered pair (x, S(x)) belongs to the function f. Ifxisa real number that is not in the domain of f, then fis not defined at x and f(x) does not exist. Examples: 15 a) Find f(6), S(a), and f(6+a) for f(x) 三 3° X - b) Find g(7), g(h), and g(7+h) for g(x) = 16+ 3x x. 2 Find k(9), 4k(a), and k(4a) for k(x) Vx c) 2 For the above functions, determine the resulting domain. Solutions: a) b) c)