if alpha and beta are the zeros of the quadratic polynomial f(x)=2x^2+11x+25. Find alpha^4+beta^4 and 1/alpha+1/beta-2alpha*beta​

If Alpha And Beta Are The Zeros Of The Quadratic Polynomial F(x)=2x^2+11x+25. Find Alpha^4+beta^4 And

Answers

Answer 1

Step-by-step explanation:

[tex]2 {x}^{2} + 11x + 5 \\ {x}^{2} + 5.5x + 12.5 \\ = -2.75-2.222i \\ \: \: \: - 2.75 + 2.22i \\ \alpha = - 2.75 - 2.22i \\ \beta = - 2.75 + 2.22i[/tex]

[tex] { \alpha }^{4} + { \beta }^{4} = -284.2912344[/tex]

[tex]\frac{1}{ \beta } + \frac{1}{ \alpha } + 2 \alpha \beta = 24.9818[/tex]


Related Questions

Identify two segments that are marked parallel to each other on the diagram below. PLEASE ANSWER CORRECTLY !!!!!!!! WILL
MARK BRIANLIEST !!!!! (Choose two capital letters for each !!!!!! )

Answers

Answer:

LO  is parallel to MN

Step-by-step explanation:

Here we have a parallelogram, and we want to identify two segments that are parallel.

We can see that ON is parallel to LM

And LO is parallel to MN

Because this is a parallelogram (we know this because there is a 90° angle at N), the opposite sides are parallel.

So from this, we can see that sides ON and LM are opposite, then ON is parallel to LM

With the same reasoning, LO is parallel to MN.

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you need a piece of paper to measure 65.31 cm. if you tape two together that each measure 38.9 cm, how much do you need to cut off?

Answers

Answer:

you would need to cut off 12.49 cm. of the paper

A dolphin swims 128 miles in eight hours. What is the unit rate

Answers

Answer:

16mph

Step-by-step explanation:

128 ÷ 8 = 16

good luck, i hope this helps :)

A membership to a movie night club costs $10 plus $2 per movie. Write the equation in slope intercept form to represent the situation

Answers

y=2x+10 so the y intercept is 10 and the slope is 2

The equation in slope-intercept form is y = 2x + 10.

Option A is the correct answer.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Cost of membership = $10

Cost per movie = $2

The total cost for x movie.

= 10 + 2x

This can be written as,

y = 2x + 10

This is a slope-intercept form.

Where 2 is the slope.

Thus,

The equation is y = 2x + 10.

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What is the constant in the algebraic expression to represent the patter below??

15,11,7,3,-1,...

Answers

Answer:

The constant in the algebraic expression to represent the pattern below is 4.

Step-by-step explanation:

Imortant Tip:

An Arithmetic sequence has a constant difference 'd' which can be determined by computing the differences of all the adjacent terms

Given the pattern

[tex]15,11,7,3,-1,...[/tex]

computing the differences of all the adjacent terms

[tex]11-15=-4,\:\quad \:7-11=-4,\:\quad \:3-7=-4,\:\quad \:-1-3=-4[/tex]

The difference between all the adjacent terms of the pattern is the same which is

[tex]d=-4[/tex]

Hence, the given pattern represents the Arithmetic sequence.

Therefore, the constant in the algebraic expression to represent the pattern below is 4.

Which equation can be used to solve for 2 in the following diagram?
7xº
11x°

Answers

Answer:

7x + 11x = 90

Step-by-step explanation:

Khan academy

PLEASE HELP EASY!!!!!!!!!!!!!!!!

Answers

Answer:

8a. The students

8b. Which music do you prefer?

8c. Simple Random Sampling. (This is where everyone in the population has an equal chance of being chosen.)

9. Around 92.

Step-by-step explanation:

how to add 1/6 and 2/3

Answers

Answer:

5/6

Step-by-step explanation:

2/3×2=4/6

1/6+4/6=5/6

Answer:

1/6 + 2/3 = 5/6

Step-by-step explanation:

When adding fractions you have to find a  common denominator(which is the bottom number of a fraction).  So 1/6 and 2/3 do not have a common denominator so you have to multiply 2/3 by 2/2 to get a 6 in the  denominator.  2/3 x 2/2 =  4/6.  The you just  add the two.  4/6 + 1/6 = 5/6

What is the value of q?

Answers

Answer:

q = 70°

Step-by-step explanation:

The 3 angles form a straight angle and sum to 180° , that is

q + 52° + 58° = 180°

q + 110° = 180° ( subtract 110° from both sides )

q = 70°

Answer:

q=70

Step-by-step explanation:

All the angles added up adds up to 180 so all you have to do is subtract the known angles from 180. Your equation should look like this

180-52-58=70

Which statement not true

Answers

I'm not sure because There isn't attached

write the equation of the graph in slope-intercept form

Answers

y=-3x+4
slope is -6/2=-3
y-intercept 4

Answer:

y=3x+4

Step-by-step explanation:

Remember slope is rise over run

Rise= 6

Run= 2

3 is slope

The y intercept is 4



On a Saturday, Saul can cut 4 lawns in 6 hours. If Mitch can mow lawns at the same rate, how long will it take him to

mow 9 lawns?

Answers

Answer:

13 1/2 hours

Step-by-step explanation:

4/6=9/x then find the rate and solve

Identify the composite numbers in the table below.
(Choose 4)
21
22
23
24
25
29

Answers

Answer:

21, 22, 24, 25, 26, 27, 28,

Answer:

21, 22, 24, 25

Step-by-step explanation:

The composite numbers 20-30 are

20, 21, 22, 24, 25, 26, 27, 28, 30.

Your Most Welcome!

help
I'm really stuck
HELP IM BAD AT MATH

Answers

Answer:

B. Yes

Step-by-step explanation:

What is the sum of k° + i°?

Answers

Answer:

we have:

k + 70° = 180°

=> k = 110°

u can see that i = 180°

=> k + i = 110° + 180° = 290°

Step-by-step explanation:

3. A vertical line has a slope of zero. Is this a true statement? Explain in three to five sentences, If false,
provide a corrected statement.

Answers

Answer:

False.

Summary:

This contradicts choice C above. Vertical lines have undefined slopes which aren't numbers due to the fact we cannot divide by zero.

If helpful, please mark as brainliest! =)

List three different combinations of coins, each with a value of 30% of a dollar ​

Answers

Answer:

1 Quarter + 1 Nickel , 3 Dimes , 30 Pennies , 15 Pennies + 1 Nickel + 1 Dime , 10 Pennies + 2 Nickels + 1 Dime ... There are many different ways to make 30 cents with certain coin combinations.

Step-by-step explanation:

Expand the following 2(x-6)

Answers

2x-12

You multiply everything in the bracket by 2
2x-12
:)))))))))))))))

Josie's office recycled a total of 10 kilograms of paper over 5 weeks. After 7 weeks, how many kilograms of paper will Josie's office have recycled? Assume the relationship is directly proportional.​

Answers

Answer:

They averaged 2kg each week for 5 weeks which gave them 10kg. Averaging 2kg per week for two more weeks would give them a total of 14kg.

aNoThEr qUeStiOn tO bRiNg mY GrAdEs uP // Ill mark brainliest c:

Answers

Answer:

12 1/2 M

Step-by-step explanation:

15 + 8 =

23 / 2 =

12 1/2 m

Hope that helps!

Answer:

12 1/2 I'm positive that that's the answer

In △ABC, G is the centroid and BE = 21. Find BG and GE.

Answers

Answer:

BG = 7, GE = 14

Step-by-step explanation:

The centroid is the intercession of medians.

The centroid theorem states that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.

BE is the median and point G is 2/3 of the distance from E:

GE = 2/3BE = 2/3(21) = 14

Then BG is:

BG = BE - GE = 21 - 14 = 7

The answer is BG = 7, GE = 14

Answer:

the answer is BG=7,GE=14

Please help me solve this problem ASAP! I'm picking brainliest!

Answers

Answer:

It will take Madeline 13 minutes to heat her hot tub from 93° to 103°

Step-by-step explanation:

Hot tub is 70.15 cubic feet

70.15 cubic feet = 524.76 gallons

[tex]{\text{apothem}}={\frac {s}{2\tan({\frac {180}{n}})}}[/tex]

n is the number of sides of the shape, so apothem will always be

side length/2tan(30) on a regular hexagon

Apothem comes out to 2.598 multiplied by perimeter yields 23.3827 (area of base)

consider the line graphed on the coordinate plane.
which statement is true?
a) the initial value of the function is 11.2
b) the initial value of the function is 8
c) the initial value of the function is 6
d) the initial value of the function is -2.7

Answers

Answer:

A

Step-by-step explanation:

What is the side length of a square with the same area as the rectangle

Answers

Answer:

Down Below

Step-by-step explanation:

A rectangle and a square have the same area. The length of the rectangle is 48 meters more than two times its width. The length of a side of the square is 48 meters. The side of the square is 72 meters less than five times the width of the rectangle.

Answer:

wait what

Step-by-step explanation:

the length of a rectangle is 6 inches less than 4 times the width of the rectangle , write an expression to find the perimeter of the rectangle.

Answers

Answer:

x + (4x-6) • 2

Step-by-step explanation:

First, let's start by calling the width of the rectangle x

Because the length is 4 times the width minus 6, the equation for length will be 4x-6

The width and length together will be x + (4x-6)

You then have to times it by 2 to find the whole perimiter.

CANNNNN ANYONE FIGURE TJIS OUTTT

Answers

Answer:

6.7

Step-by-step explanation:

Since both the figures are similar, so their corresponding sides would be in proportion.

Therefore,

[tex] \frac{a}{12} = \frac{5}{9} \\ \\ a = \frac{60}{9} \\ \\ a = 6.7 \: [/tex]

Kim's bedroom is 13 feet long and 11 feet wide how big is her room​

Answers

Answer:

143 square feet for area, 48 feet for perimeter

Step-by-step explanation:

Perimeter = 13 + 11 + 13 + 11 = 26 + 22 = 48 feet

Area = 13 x 11 = 143 feet square

Hope that helps!

=the awnser is 143 square feet because you times 13 times 11

factorise x2 +7x +10

Answers

x^2 + 7x + 10

10 has factors of 1 & 10, and 5 & 2.
5 & 2 are numbers that add up to 7 which makes 7x, so you would use these two numbers, which makes...
(x+5) (x+2)

60 POINTS!!!! PLS ACTUALLY HELP!!!!!

Х
O
x = [?]
Enter the number that belongs in
the green box.

Answers

Answer:

x = 60

Step-by-step explanation:

That triangle is an equilateral triangle, so all the angles are the same. Triangles always have angles that equal 180°. 60 x 3 = 180

Round 1.823 to the nearest whole number.​

Answers

Answer:

2

Step-by-step explanation:

Look at the ones place (1). Look to the right of it (8). Since 8 is more than 4, raise the 1 to the next number, 2. So rounded to the nearest whole number, the decimal 1.823 is 2.

Hope it helps!

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