Mathematics High School

Construct a quadratic equation using the following roots

Construct A Quadratic Equation Using The Following Roots

Answers

Answer 1

Answer:

1) 63x²+68x+12=0

2) x⁴-8x²+15=0

3) -5x²-(5/x²)+26=0

Step-by-step explanation:

1)

x=-6/7 and x=-2/9

7x=-6 and 9x=-2

7x+6=0 and 9x+2=0

(7x+6)(9x+2)

63x²+14x+54x+12

63x²+68x+12=0

2)

x=√3 and x=√5

x²=3 and x²=5

x²-3=0 and x²-5=0

(x²-3)(x²-5)

x⁴-5x²-3x²+15

x⁴-8x²+15=0

3)

x=[tex]\sqrt[2]{5}[/tex] and x=[tex]\sqrt[-2]{5}[/tex]

x²=5 and x⁻²=5

x²=5 and (1/x²)=5

x²-5=0 and (1/x²)-5=0

(x²-5)((1/x²)-5)

1-5x²-(5/x²)+25

-5x²-(5/x²)+26=0

Related Questions

please give the step by step explanation.....I need it soon ... thank you​

Answers

download math papa it gives you step by step explanations

Show work please answer for 10 points

Answers

Step-by-step explanation:

6p² - 13p + 6

= 6p² - ( 9 + 4 )p + 6

= 6p² - 9p - 4p + 6

= 3p ( 2p - 3 ) - 2 ( 2p - 3 )

= ( 2p - 3 ) ( 3p - 2 )

Hope it helps :)

Step by step:

6p2 - 13p + 6

6p2 - 4p - 9p

Common factor from the two pairs

6p2 - 4p - 9p + 6

2p(3p-2) - 3 (3p - 2)

Then, rewrite in factored form

2p(3p - 2) - 3 (3p - 2)

(2p - 3) ( 3p - 2)

Solution

(2p - 3)(3p - 2)

find the value of x . PLEASE HELP )):

Answers

Answer:

x=65

Step-by-step explanation:

since its 65 on one side, its going to be 65 on the other. they are congurent

Find the solution to the equation 4x + 17 = 23

Answers

Answer:

x= 3/2 or x=1.5

Step-by-step explanation:

subtract 17 to the other side of the equation.

Next you divide both sides of the equation by 4.

You have your answer :)

Identify the function shown in this graph. (IMAGE BELOW)

A. y = -3x - 2
B. y = 1/3x - 2
C. y = 3x - 2
D. y = 3x - 2

Answers

Answer:

Your answer will be y=3x-2

Our form of slope is y=mx+b. B=y intercept...mx=slope y=will usually stay y. The y intercept is at -2 which where the line finally touches that y axis and is why u can see at the end of the equation it says -2. 3 is the slope in the middle because if you start from the y intercept, -2 and go up 3 times and over to the right once you will meet another point. This is called rise over run...the rise is 3 and the run is 1, now we put the rise over run as a fraction, 3/1 which equals 3. Therfore the slope is 3. And if we put those two numbers together you get y=3x-2

Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at
y = ± [tex]\frac{5}{6} x[/tex]

Answers

Answer:

[tex]\frac{y^2}{100} -\frac{x^2}{144} =1[/tex]

Step-by-step explanation:

By looking at the characteristics given, it can be determined that the equation will be vertical.

Being that the center is the midpoint of the vertices, the center is (0,0).

We have determined that the equation is vertical, so the equation used to find the asymptotes is [tex]y= k+\frac{a}{b} (x-h)\\ \\y=k-\frac{a}{b} (x-h)[/tex] . ± [tex]\frac{5}{6}[/tex] x is the asymptote.

We know that a is equal to 10 because of the vertices, so a squared is equal to 100.

[tex]\frac{a}{b} =\frac{5}{6}[/tex]

[tex]\frac{5}{6} =\frac{10}{b}[/tex]

When you cross multiply, and solve for b, you should get 12. Because b is 12, b squared is 144.

Now just fill the vertical transverse axis equation.

[tex]\frac{y^2}{100} -\frac{x^2}{144} =1[/tex]

La somme de l age de Anaise de sa mère et de sa grand mère est égale a 130 anaise a le tière de l age de sa mere s mere a le double de se lui d esa grand mere

Answers

headshot snipe (use english)

Answer:

For people who want to answer this(not me) here is a translation:

La somme de l age de Anaise de sa mère et de sa grand mère est égale a 130 anaise a le tière de l age de sa mere s mere a le double de se lui d esa grand mere

is =

The sum of the age of Anaise of his mother and of his grandmother is equal to 130 anaise of the age of his mother s mother to double his of his grandmother

hope this helps!

In ΔQRS, the measure of ∠S=90°, SQ = 9.7 feet, and RS = 1.3 feet. Find the measure of ∠R to the nearest degree.

Answers

Answer: 82

Step-by-step explanation:

Answer:

Step-by-step explanation:

I need help ASAP
Geometry​

Answers

Answer:

b

Step-by-step explanation:

the figure of the statement shows ECD, 1/2 -m = ECB= m>

Answer:

B.......

Explanation: worked out in my head

Help me please i need it

Answers

Answer:

y<5 with the line underneath too

Step-by-step explanation:

Which unit would you use to measure the amount of water used to water a lawn?

mm
mL
L
g

Answers

You would use mL
mm and g are not used for liquid and L is too big

use the distributive property to factor out y 5y - 3y + 12 the new expression becomes​

Answers

Answer:

2y+12

Step-by-step explanation:

Need help brainlest to whoever is right

Answers

Answer:

2

Step-by-step explanation:

Answer:

x is equal to 2

Step-by-step explanation:

Just because

can y’all please help me, it’s due in 15 mins

Answers

the answer is 2 more miles

Last year, the Midas Middle School cafeteria served pizza on 12% of the school days. If there were 175 school days, how many times was pizza served?

Answers

Answer:

21

Step-by-step explanation:

This is extremely hard to do on paper so I used a calculator but this is my explanation. So 12% = .12 so the decimal way is 175 x .12 = 21. Pizza was 21 times.

Answer:

Pizza was served on 21 days.

Step-by-step explanation:

12% of 175 days comes out to 21 days.

Pizza was served on 21 days.

please help!
The function f(x)=10,000(0.9)x models the population of lemmings after x years. Which statement is false?

a.The population is increasing by 9% each year.


b.The initial population is 10,000.


c.There will be approximately 5,905 lemmings after 5 years.


d.The population is decreasing by 10% each year.

Answers

Answer:

B

Step-by-step explanation:

Help plz like fr someone asapppp help me

Answers

The answer would have to be D.

Which of the followmg is an expression for "doubling a number n and dividing by 3"​

Answers

The expression for doubling a number n and dividing by 3 is 2n/3.

50 points but please give a helpful answer <3

Answers

They are all (SAS)side angle side except for the bottom right one. This is because the question does not give the little ticks to show that one side is the same as the other. It is not good enough to assume they are congruent without proof.

plz help 50 point for it

Answers

Answer:

I think it goes in this order

<LNO<NLM <OLN

Answer:

<LNO<NLM <OLN

Step-by-step explanation:

WILL GIVE BRAINLIEST

Answers

Answer:

D. about 7.3 units

Step-by-step explanation:

Answer:

Since the long side is 7 units and the shorter side is 2 units, to find the hypotenuse it would be 7^2+2^2=Hypotenuse^2-->49+4=Hypotenuse^2--> [tex]\sqrt{53} \\[/tex]=Hypotenuse-->7.280109889 which is about 7.3 :)

Step-by-step explanation:

At 2:00 P.M., a radio announcer reported that the temperature was 25°C. From 11:00 A.M. To 2:00 P.M. The temperature had risen 4°C. From 8:00 A.M. To 11:00 A.M. The temperature had risen 3°C. What was the temperature at 8:00 A.M.?

Answers

Answer:

The temperature at 8:00 A.M. was 18º C.

Step-by-step explanation:

Given that at 2:00 P.M., a radio announcer reported that the temperature was 25 ° C, and that from 11:00 A.M. to 2:00 P.M. the temperature had risen 4 ° C, while from 8:00 A.M. to 11:00 A.M. the temperature had risen 3 ° C, to determine what was the temperature at 8:00 A.M. the following calculation must be performed:

25 - 4 - 3 = X

21 - 3 = X

18 = X

Thus, the temperature at 8:00 A.M. was 18º C.

What is the measure of the angles?



35°
145°
13°
180°

Answers

Answer:

35° is ur answer

Step-by-step explanation:

what is 75:___= 25:8

Answers

Answer:

24

Step-by-step explanation:

75/3 is equal to 25... So, in theory, if you multiply 8 by 3, you should get 24. To check that: 75/24 = 25/8

Answer:

24

Step-by-step explanation:

Considering that 25 can go into 75 by being multiplied by 3, you'd multiply 8 by 3 to get your answer.

Anyone have geometry A in connections academy? need help with something.

Answers

Answer:

what is the question? please ask your question.

The dot plot shows the numbers of text message received by students over the weekend .

Can someone help me answer and explain with all them ???

Answers

Answer:

basdasidw buga

Step-by-step explanation:

Answer:

Part A: The amount of students represented is around 68-69

Part B: You Can collect the data by using the dot plot, the units are text messages

Part C: How many students receive text messages over the weekend? This is a statical question because there’s more than one answer.

I’m not sure by the way, I hope it helps anyway. If this doesn’t work out then sorry :)

plsss help plssssss helpppp​

Answers

Answer:

x = 3

Step-by-step explanation:

To solve this equation you use the pythagorean theorem to find the missing side length.

4^2+x^2=5^2

16+x^2=25

Then subtract 16 from both sides

x^2=9

Then just find the square root of 9 which is 3

I think the other person is right.... I might be wrong sorry if I am. Hope you have a good day!!

A jug holds 5 gallons of water.How many jugs can Mark fill with 23 gallons of water? Explain

Answers

He can hold 4 gallons because  5 goes into 23, 4 times with a remainder of 3.

Answer:

4.6

Step-by-step explanation:

23/5=4.6

Use the model below to complete the sentence by selecting the correct options from each drop-down list. There are 1,

2,

3

,12.

thirds

quarters

twelfths in 3 units.

those are options pick 1 for both

Answers

Answer:

There are 12 quarters in 3 units

Answer:

12 quarters and 3 units i hope this helped and good luck on the quiz/test!!

i need help with this pls

Answers

Answer:

(3, 5)

Step-by-step explanation:

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