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How Many Extraneous Solutions Does The Equation Below Have

Posted by Serambi Pengetahuan on Senin, 16 Januari 2023


How Many Extraneous Solutions Does The Equation Below Have

How many real roots does the equation have? x² + 3x − 70= 0

Daftar Isi

1. How many real roots does the equation have? x² + 3x − 70= 0


the answer is two roots


2. how many ways to solve the linear equation??


there are 4 ways, that is with graph, elimination, substitution, and mix method

3. How many solutions do the systems of equations have?y =-1/3 x + 9y =- 2/6x​


SISTEM PERSAMAAN LINEAR

Hanya 1 solusi, karena tidak ada fungsi kuadrat atau parabola, hanya ada garis/linear

yaitu :

y = -⅓x + 9

y = -⅓x

Tapi untuk garis yang seperti ini, tidak ada solusi karena memiliki gradien yang sama yaitu -⅓, tidak ada solusi yang memenuhi bahkan solusi imajiner. Pembuktiannya :

y = -⅓x + 9

y = -⅓x

_________-

0 = 9

dan kita tahu bahwa 9 ≠ 0 maka sistem linear tsb tidak memiliki solusi

Pembahasan

Nomor 1

[tex] \sf y = - \frac{1}{3} x + 9 [/tex]

mencari nilai x

[tex] \sf y = - \frac{1}{3} x + 9 \\ \sf (0) = - \frac{1}{3} x + 9 \\ \sf \frac{1}{3} x = 9 \\ \sf x = 9 \times 3 \\ \sf x = 27 [/tex]

mencari nilai y

[tex] \sf y = - \frac{1}{3} x + 9 \\ \sf y = - \frac{1}{3}(0) + 9 \\ \sf y = 0 + 9 \\ \sf y = 9 [/tex]

Nomor 2

[tex] \sf y = - \frac{2}{6} x= - \frac{1}{3} x [/tex]

mencari nilaix

[tex] \sf y = - \frac{1}{3} x \\ \sf (0) = - \frac{1}{2} x \\ \sf x = - 2 [/tex]

mencari nilai y

[tex]\sf y = - \frac{1}{3} x \\ \sf y = - \frac{1}{3} (0) \\ \sf y = 0[/tex]


4. write some solutions from the problem below "should" or "shouldn't"​


Jawaban:

he shouldnt play to much gadgets

he should hand his task assightment before playing games

he should study than playing games

kayak begini ya maksud kk?..maaf kalau salah


5. 1. How many grams of NaCl required to prepare each of the following solutions:​


Penjelasan:

Sorry sir, where is the question and the answer choices?


6. solve the equation below x^2 = 3x + 2 = 0


Assume that the typo in the right side of x² is a pus (+) symbol.
So,
x² + 3x + 2 = 0
Factorize it.
(x+1)(x+2) = 0

Get some radixes:
x₁ + 1 = 0
x₁ = -1

x₂ + 2 = 0
x₂ = -2

So, the solution of the equations are:
x = {-2,-1}
[tex]\displaystyle x^2+3x+2=0\\x^2+2x+x+2=0\\x(x+2)+1(x+2)=0\\(x+1)(x+2)=0\\\\x+1=0\\x=-1\\\\\text{or}\\\\x+2=0\\x=-2\\\\\boxed{\boxed{S=\{-1,-2\}}}[/tex]

7. solve the quadratic equation below​


Step by step explanation

_________

Nomor 1

_________

[tex]\begin{aligned}\rm \frac{5x+12}{3x}&=\rm x\\\rm 5x+12&=\rm 3x^2\\0&=\rm 3x^2-5x-12\\0&=\rm (3x+4)(x-3)\\&\bf x=-\frac{4}{3}~atau~x=3\end{aligned}[/tex]

_________

Nomor 2

_________

[tex]\begin{aligned}\rm \frac{20-8k}{k-5}&=\rm 3k\\\rm 20-8k&=\rm 3k^2-15k\\0&=\rm 3k^2-15k+8k-20\\0&=\rm 3k^2-7k-20\\0&=\rm (3k+5)(k-4)\\&\bf k=-\frac{5}{3}~atau~k=4\end{aligned}[/tex]


8. 11. How many triangles are there in the figure below?​


Jawaban:

c.16

Penjelasan dengan langkah-langkah:

sisi depan 8 sisi belakang 8 = 8+8=16


9. 2. Make questions using "how many" based on the sentences given below.1. The dog ran in the gardenHow many2. He wrote three books last year.How many3. He ate the five ice cream cones very quickly.How many4. She had four brothers.How many5. Kate washed all four windows.How many​


1. ( gak tau )

2. How many books did he wrote last year?

3. How many ice cream cones di he eat quickly?

4. How many brothers does she have?

5. How many windows did Kate washed?

10. QuizMother Has .... Egg (It's At Number 2)Count how many eggs below!••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••How many eggs do mother have?Mother Gives 26 Eggs to Orphans, how many eggs do you have left?Mom Cooks 3 Eggs For Family How many eggs do you have left?Picking up mother's eggs accidentally dropped 10 eggs, how many eggs do you have now?​


Jawaban:

✓ How many eggs do mother have?

Answer: 350 Telur (Berdasarkan titik/telur pada soal)

✓ Mother has 350 Eggs

✓ Mother gives 26 Eggs to Orphans, how many eggs do you have left?

Answer: 324 Eggs, because: 350 - 26 = 324

✓ Mother cooks 3 eggs for family, how many eggs do you have left?

Answer: 321 Eggs, because: 324 - 3 = 321

✓ Picking up mother's eggs accidentally dropped 10 eggs, how many eggs do you have now?

Answer: 311 Eggs, because: 321 - 10 = 311

Semoga Bermanfaatdan Membantu :)


11. C. Answer the questions below!1. What does the text talk about?Answer: ...How many legs does komodo have?Answer: 23. How is its tail?Answer: 24. How is komodo skin?Answer:5. What are its claws used?Answer:​


Jawaban:

The text is talk about Komodo.Komodo have four legs.Komodo have muscular tail.Komodo have rough and durable skin.To grab predators, and dig burrows

Semogamembantu:)


12. B. Arrange the words below to form correct sentences!1.how-monkeys-in-there-the-many-zoo-are-? 2.books-do-how-you-many-have ​


Jawaban:

How many monkeys are there in the zoo?

how many books do you have?

Penjelasan:

semoga membantu

Jawaban:

how many monkeys are in there in the zoo?

how many books do you have


13. Let n be positive integer. Prove that the equation[tex] \sf \: x + y + \frac{1}{x} + \frac{1}{y} = 3n[/tex]does not have solutions in positive rational numbersAnswer the question completely. Thank U​


Jawaban:

Proven

Penjelasan dengan langkah-langkah:

Condition 1: x = y

1/x + x + 1/x + x = 3n

Thus 2x + 2/x = 3n, which means n = 2/3(x + 1/x)

Henceforth n = 2(x² + 1)/3x --> which means x² + 1 must be divisible by 3x, which isn't possible (proof by induction --> any quadratic numbers are 0 mod 3 or 1 mod 3, thus x² + 1 cannot be divisible by 3) --> Proven

Condition 2: x = y + k with k is a real number

1/(x + k) + x + 1/x + x + k = 3n

2x + k + (2x + k)/(x² + kx) = 3n

(2x + k)(1 + (1/x × 1/(x + k))) = 3n

Hence 2x + k must be divisible by 3 or 1/(x² + kx) = 2 mod 3.

Thus it is not possible because of the following:

If 2x + k is divisible by 3, 1/(x² + kx) must be a fraction no matter what the values of x and k are.

If 1/(x² + kx) is divisible by 3, 2x + k is also an fraction.

(proof by induction --> Using Ramanujan Summation: if x² + kx is an integer except 1 thus 2x + k must not be an integer. However if x² + kx is 1 then 2x + k is also an integer that is not divisible by 3 henceforth it is not possible) --> Proven

[tex]{\orange{\boxed{\boxed{\mathfrak{\underline{\red{ Answer + Explain }}}}}}}[/tex]

[tex]Soal[/tex]

Let n be positive integer. Prove that the equation

[tex] \sf \: x + y + \frac{1}{x} + \frac{1}{y} = 3n[/tex]

[tex]Penyelesaian terlampir di foto^[/tex]

[tex]{\purple{\boxed{\boxed{\mathfrak{\underline{\purple{ Semoga bermanfaat }}}}}}}[/tex]

Detail Jawaban :

Mapel : Matematika

Kelas : SMA

Bab : Rasional

14. Fill in the blanks below with the correct words available below a a What time ....... Do you have a house or a flat ?" (have, has ) Does your brother brother ........ a bike or motorcycle ?" (have, has ) How many children .... your father have ?" ( does, do ) they go to Dwi Dharma Junior high School or not ?" ( Do, Doe You have breakfast every morning ?" ( do, does ) your mother have a car ?" ( Does, Do ) Santi have a skill ?" ( Do, Does ) .you have a close friend ?" ( Do, Does ) My mother ........ have a big house ?" ( doesn't, don't ) 1. They ..... have an ambition to be a pilot ( don't, doesn't)​


Penjelasan:

Fill in the blanks below with the correct words available below a a What time (has) Do you have a house or a flat ?" (have, has ) Does your brother brother (have) a bike or motorcycle ?" (have, has ) How many children (do) your father have ?" ( does, do ) they go to Dwi Dharma Junior high School or not ?" ( Do, Doe You have breakfast every morning ?" ( do, does ) your mother have a car ?" ( Does, Do ) Santi have a skill ?" ( Do, Does ) .you have a close friend ?" ( Do, Does ) My mother (doesn't) have a big house ?" ( doesn't, don't ) 1. They (don't) have an ambition to be a pilot ( don't, doesn't)


15. Task 4. Answer the questions below correctly! 1. How many people are there in the dialogue above? Answer: 2. Who are they? Answer: 3. What does Bintang bring? Answer: 4. Does he permit Riani to see the picture? Answer: ...... 5. Does he have a sister? Answer:. bantu jawab plis​


Jawaban:

mana dialognya?

Penjelasan:

gak ada dialognya, gak bisa jawab


16. RESPONSE THE QUESTION BELOW WITH FULL SENTENCES!1. How many Cars have you bought since you lives here?2. How many persons have you called this morning?


Jawaban:

1. I have bought 3 cars since I lived here.

2. I have called 2 persons this morning.

utk yg no 1, 3 bisa diubah ke nomor apa aja

utk yg no 2, 2 juga bisa diubah ke nomor apa aja, pokoknya terserah kakak lah

maaf kalo salah. semoga membantu!


17. Choose and write the correct answer in the form wh-question ! 1. Alan has read a biography recently. a. What Alan has read recently? b. What has Alan read recently? 2. They have been to the grocery store. a. Where have they been? b. Where they have been?3. Our computers have started shutting down randomly because of overheating. a. Why our computers have started shutting down randomly? b. Why have our computers started shutting down randomly? 4. We have found ten solutions so far. a. How many solutions have we found so far? b. How many have solutions we found so far? 5. They have rejected his visa application three times. a. How many times have they rejected his visa application? b. How many times they have rejected his visa application?​


Jawaban:

Pilih dan tulis jawaban yang benar di formulir pertanyaan-wh!

1. Alan membaca biografi baru-baru ini.

Sebuah. Apa yang Alan baca baru-baru ini?

b. Apa yang Alan baca baru-baru ini?

2. Mereka pernah ke toko grosir.

Sebuah. Kemana saja mereka

b. Kemana saja mereka?

3. Komputer kami sudah mulai mati secara acak karena terlalu panas.

Sebuah. Mengapa komputer kami mulai mati secara acak?

b. Mengapa komputer kami mulai mati secara acak?

Jawaban:

(1) b. What has Alan read recently?(2) a. Where have they been?(3) b. Why have our computers started shutting down randomly?(4) b. How many solutions have we found so far?(5) a. How many times have they rejected his visa application?

Penjelasan:

Rules:

Wh pronoun + has + he/she/it/(satu orang/benda) + V₃?

V₃ dari "read" = read

Nama orang ='Alan'

Example: What has 'Alan' read recently?

Wh pronoun + have + I/you/we/they/(dua orang/benda) + V?

V₃ dari "reject" = rejected

Subject ='they'

Example: How many times have 'they' rejected his visa application?

_____________

#Jenius - kexcvi


18. - Answer the questions below based on the text above1. How is the writer's house?Answer: ....2. How many floors does the house have?Answer: ....3. Where is the bathroom?Answer: .....4. What can we find in the second floor?Answer: ....5. Does the writer feel comfortable in his/her house?Answer: tolong bantu saya cari jawaban ya kak :)​


Jawaban:

1. the writer's house is on jalan markisa 37

2. the house has two floor

3. on the second floor

4. we can find three bedrooms and a bathroom

5. yes, he feel comfortable in his house

Jawaban:

1. big and nice

2. two floors

3. on the first and second floor

4. three-bedroom (the parents, brothers, and writers bedroom) and a bathroom

5. yes

Penjelasan:


19. how many grams of NaC1 required to prepare each of the following solutions2500 ppm (w/v) NaC1 250 mL solutions​


Penjelasan:

Formula : m NaCl (in Molar) = n ppm × mL

= 2500 ppm = masses of Salt / mL

= masses of Salt (µg) = 2500 ppm × mL

= massea of salt (µg) = 2500 ppm × 250 mL

= masses of salt (µg) = 625 µg or in mg = 625 µg × 10^-4 = 0,0625 grams


20. swer the questions below!3.2.How is my sister?How does father?How does Alvin?5.NEHow is Aldo?How is Bella?​


Jawaban:

gua gak tau kabar adik mu kabar ayah mu kabar alvin dan gak kenal aldo dan gak kenal bella


Video Terkait Topik Diatas


Thanks for reading & sharing Serambi Pengetahuan

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