determine the value of p if one root of equation x^2+px+1=0 is the square of other.

Answers

Answer 1

Answer:

-2

Step-by-step explanation:

Given equation is x²+px+1=0

comparing the equation with ax²+bx+c=0

then a=1,b=p,c=1

let the roots one root of the equation be A then

by question, another root is A².

we know

A(ALPHA)+A²(beta)=-b/a

A+A²=-p/1

A+A²=-p......1

again

A*A²=c/a

A³=1/1

A³=1

A=1

Now,

substituting A=1 in equation 1

1+1²=-p

2=-p

Therefore p=-2.


Related Questions

can someone plz help me witt this??

Answers

Answer:

23

Step-by-step explanation:

sythenic division hard asab

Plot 5 in the complex plane.

Answers

answer is there a photo or something we can see

Step-by-step explanation:

because just saying plot 5 doesn't make sense so we probably need a photo or more information

Can I see a photo because how I’m suppose to help you. Your just saying plot 5 in the complex plane with no image

pls help!
​ 15 boxes of apples weighs 840 pounds. If the weight of the apples is proportional to the number of boxes then how many pounds does 28 boxes weigh?

Answers

Answer:

4,704 pounds

Step-by-step explanation:

make a ratio

boxes of apples:pounds

15:840

28:x

cross multiply:

15x = 23520

x = 4,704

hope this helps!

You have a bowl with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. What is the probability that you will
choose an orange candy out of the bowl?
A
50%
B
60%
с
20%
D
25%

Answers

Answer:

с ) 20%

Step-by-step explanation:

There are 5 orange candies, and 25 total candies to choose from. If you only want to pick the orange candies, then the probability would be 5/25, or 1/5.

1/5, in percentage, is 20%.

1. Hannah added 5 marbles to her bag of marbles as shown in the model below.Create an equation using the model shown ( remember to use a variable for the unknown quantity). Explain the first step needed in order to solve your equation. How many marbles (m) did Hannah originally have in her bag?

Answers

Answer: Poop man

Step-by-step explanation: You throw your poop

a telephone pole casts a 10 food shadow. A horse that stands 5.5 feet tall casts a 2.5 foot shadow. How tall is the pole?

Answers

Answer:

72

i think i remember doing this

Find the solution to each number sentence below:

(1) - 10 + 15 = _______

(2) 28 + (-29) = _______

(3) -40.5 + (-0.5) = ______

(4) 50 - (- 5) = ______ (5) 100 - 255 = ______
(Hint: take away a negative means adding the opposite)

Answers

Answer:

1. 5

2. -1

3.-41

4. 55

5.-155

Step-by-step explanation:

Answer:

1) 5

2) -1

3) - 41

4) 55

5) -155

You have the same bowl, with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. You take out an orange candy
from the bowl. What is the new probability that you will draw another orange candy?
А 1/5
B 1/6
С 1/8
D 5/24

Answers

Answer: B) 1/6

Explanation: First, we want to add up all the candies, and after doing that we discover that there are 25 candies in total. Next, we take away an orange candy, leaving us with 4 orange candies, but it also takes away 1 from the number of total candies, leaving us with 24 total candies. Finally, we put orange candies as our numerator and total candies as our denominator and get 4/24, which simplified becomes 1/6.

Answer:

A. 1/5

Step-by-step explanation:

The chances of drawing another orange would be 20%. And since means 1/5 in fraction form, A. is the answer.

Write the expression with fewer terms.

10−2

Answers

10-2 = 8
2^3 =8
(2x2x2) = 8

Answer:

8

Step-by-step explanation:

(10-2 is 8)

Hope this helps!

Pls help! Will mark first correct answer brainliest

Answers

Answer:

1.25, 40

1.6, 30

Step-by-step explanation:

First, we'll state that the lbs of candy worth $1.25 is A and the lbs of candy worth $1.6 is B.

We write the equations: A + B = 70, (This is the lbs)

and, 1.25A + 1.6B = 1.4(70) (This is money)

Next, choose an equation you want to solve for, in this case, I'll choose A.

In the lbs equation, subtract A from both sides, A - A + B = 70 to get B = 70 - A

Now substitute this equation into the money equation.

1.25A + 1.6(70 - A) = 98

1.25A + 112 - 1.6A = 98

-0.35A = -14

multiply by negative

0.35A = 14

divide

A = 40

Then, you substitute 40 into the lbs equation, 40 + B = 70, making B = 30! Done!

Write an algebraic expression for
the verbal expression:
"5 times the sum of a squared and
b minus 3 times the sum of
a and b".​

Answers

Answer:

"5 times the sum of a squared and  b minus 3 times the sum of

a and b".​

5(a²+b) - 5(a+b)

which can be simplified such as:

[tex]5\left(a^2+b\right)-5\left(a+b\right)=5a^2-5a[/tex]

Step-by-step explanation:

Given the verbal expression

"5 times the sum of a squared and  b minus 3 times the sum of

a and b".​

BREAKIN DOWN THE STATEMENT:

The sum of 'a' Squared and 'b' = a²+b

5 times the sum of a squared and  b = 5(a²+b)

The sum of a and b = a+b

3 times the sum of  a and b = 5(a+b)

Now, "5 times the sum of a squared and  b minus 3 times the sum of

a and b".​

5(a²+b) - 5(a+b)

Let us simplify the algebraic expression

[tex]5\left(a^2+b\right)-5\left(a+b\right)[/tex]

[tex]=5a^2+5b-5a-5b[/tex]

simplify

[tex]=5a^2-5a[/tex]

Thus,

[tex]5\left(a^2+b\right)-5\left(a+b\right)=5a^2-5a[/tex]

Y=2x+3
Y=-3x+3
X=? Y=?

Answers

taking

Y=2x+3____(1)

Y=-3x+3____(2)

making take equation 1 and equate to 2 since y=2x+3

2x+3=-3x + 3

bringing together like terms

2x+3x=3-3

5x=0 so

x=0

substitute x=0 in equation(2)

y=-3(0)+3

y=3


Write an equation for the nth term of
the arithmetic sequence:
15,28,41 ....

Answers

Answer:

The equation for the nth term of  the given arithmetic sequence is: [tex]\mathbf{a_n=13n+22}[/tex]

Step-by-step explanation:

We need to write an equation for the nth term of  the arithmetic sequence:

15,28,41 ....

The equation for arithmetic sequence is: [tex]a_n=a_1+(n-1)d[/tex]

Where [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] is first term and d is common difference

In the given sequence we have:

a₁ = 15

a₂ = 28

We can find common difference using the formula:

[tex]a_n=a_1+(n-1)d\\Put\: n=2, a_2=28\: and\: a_1=15\\a_2=a_1+(2-1)d\\28=15+d\\d=28-15\\d=13[/tex]

So, the common difference d is 13

Now, equation for nth term will be:

[tex]a_n=a_1+(n-1)d\\Put\:a_1=15, d=13\\a_n=15+(n-1)13\\Solving:\\a_n=15+13n-13\\a_n=13n+2[/tex]

So, the equation for the nth term of  the given arithmetic sequence is: [tex]\mathbf{a_n=13n+22}[/tex]

where n=1,2,3..

Let f(x) = 5x +1.
Find f(2)

Answers

Answer:

 f(2) =11

Step-by-step explanation:

Explanation:-

Given the function f(x) = 5x+1

                       Put x = 2

                       f(2) = 5(2)+1

             ⇒      f(2) = 10 +1

            ⇒      f(2) =11

Read the problem and examine the diagram.
Of all the students in the school band, 6 play the trumpet. They represent 10% of the
total number of students in the band. How many students are in the band?
Which choice is NOT a correct way to check your answer?


A. The answer should be 10% of 6.

B. The answer multiplied by 10% should be 6.

C. 10% of the answer should be 6.

D. 6 should be 10% of the answer.

Answers

Answer:

Option A: The answer should be 10% of 6 is the correct answer.

Step-by-step explanation:

Given that:

6 students play trumpet. As they represent 10% of the total students.

Let,

x represent the number of students in the band.

10% of x = 6

By solving this, we will get the value for number of students in the band.

As x will be our answer,

The choices B, C and D are correct in the given scenario.

However,

10% of 6 cannot be the solution to the problem.

Hence,

Option A: The answer should be 10% of 6 is the correct answer.

A pack of six cans of coffee cost $12. How much would 19 cans ofcoffee cost?

Answers

Answer: $38

Explanation: To find the answer, first of all we need to find out how much one can costs. We can do this by doing 12/6 and we discover that 1 can costs $2. We then do 19(2) to find the price of 19 cans and find out that it is $38. Hope this helped!

which equation represents the function?​

Answers

Answer:

[tex]y = \frac{5}{3}x +9[/tex]

Step-by-step explanation:

Given

The attached table

Required

Determine the equation

First: We calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (-6,-1)[/tex]

[tex](x_2,y_2) = (0,9)[/tex]

The slope becomes:

[tex]m = \frac{9-(-1)}{0 - (-6)}[/tex]

[tex]m = \frac{9+1}{0+6}[/tex]

[tex]m = \frac{10}{6}[/tex]

[tex]m = \frac{5}{3}[/tex]

The equation is then calculated as:

[tex]y - y_2 = m(x-x_2)[/tex]

So, we have:

[tex]y - 9 = \frac{5}{3}(x - 0)[/tex]

[tex]y - 9 = \frac{5}{3}x[/tex]

Make y the subject

[tex]y = \frac{5}{3}x +9[/tex]

HELP ASAP Which set of statements explains how to plot a point at the location (Negative 3 and one-half, negative 2)?
Start at the origin. Move 3 and one-half units right because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between 3 and 4. Move 2 units down because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units left because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units right because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.

Answers

Answer:

The last one: Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.

Step-by-step explanation:

To get to (-3 1/2, -2), you would have to go left 3 1/2 units, and down 2 units.

x is 4 more than
thrice of y​

Answers

Answer:

x is 4 more than thrice of y

[tex] \huge \boxed{x = 3y + 4}[/tex]

ULT ma
4. Write an expression, then evaluate.
a. 1/4of the sum of 18 and 6

Answers

Answer: Required expression: [tex]\dfrac14\times(18+16)[/tex]

Result: [tex]\dfrac{17}{2}[/tex]

Step-by-step explanation:

Given phrase:  [tex]" \dfrac14\text{ of the sum of } 18\text{ and }6. "[/tex]

Required expression: [tex]\dfrac14\times(18+16)[/tex]    ['+' used to express sum, 'x' used in place of 'of']

Since 18+16 = 34

Then,

[tex]\dfrac14\times(18+16)=\dfrac14\times34 \\\\=\dfrac{1}{2}\times17\ \ \text{[Divide numerator and denominator by 2]}\\\\=\dfrac{17}{2}[/tex]

Hence,     [tex]\dfrac14\times(18+16)=\dfrac{17}{2}.[/tex]  

According to the stem and leaf plot above, how many students scored grades lower than $60

Answers

Answer:

7

Step-by-step explanation:

21,30,39,39,47,47,48.

basically 6|2 means 62 same with the others.

HOpe this helps plz hit the crown :D

Question 10
2 points
Save Answer
Donald, owner of Dallas Company, begin accounting for bad debts expense. Assume that Dallas Company has total revenues of $79,000 during 2019 and the Accounts Receivable balance on
December 31 2019. is $42.000
Assume that Dallas Company has one account receivable of $4,850 determined to be uncollectable, what journal entry is made to write of the uncollectable account?

Answers

Answer:

Allowance for doubtful account Dr 4850 , To Account receivable Cr 4850

Step-by-step explanation:

Journal Entry                                    Debit    Credit

Allowance for doubtful account    $4850  

To Account receivable                                   $4850

A debit to the allowance for doubtful accounts is to reduce the allowance balance that was previously established and a credit to the accounts receivable is to remove the amount that will not be collected.

Find x, y, and z.
10.
Z
Х
5
7

Answers

Answer: =10

Step-by-step explanation:

I GIVEEEEE BRAINLILST
I NEED HELPPPP

Answers

what do you need help on?

:):):):):):):):):):):):)):):):):):):):)

Solve the system by substitution.
-5x+3y=2
Y=2x

Answers

Answer:

2 is the required answer.

Step-by-step explanation:

Solution:

Given:

-5x+3y=2..............(i)

Putting the value of y=2x in the equation (i); we get:

i.e -5x+3×2x=2

or, -5x+6x=2

or, x=2

i.e. x=2

y=2x=2×2=4

Michael buys a dozen donuts for his friends for $6 what is the unit rate

Answers

Answer:

6 dollars per dozen

Step-by-step explanation:

This is a fraction equal to

6 dollars ÷ 1 dozen

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 1

6 dollars ÷ 1

1 dozen ÷ 1

=  

6 dollars

1 dozen

=  

6 dollars

dozen

= 6 dollars per dozen

5x5x5x5x5x5=... plz answer

Answers

Answer: 15,625

Step-by-step explanation: 5x5x5x5x5x5= 15,625

There were 3 squirrels and 18 acorns on Josh's back porch. What was the ratio of acorns to squirrels?

Answers

Answer:

3/18

Step-by-step explanation:

Answer:

18:3

Step-by-step explanation:

acorns go first then squirrels cause the question says acorns TO squirrels

Express 2700 as a product of prime numbers.​

Answers

Answer:

9669

Step-by-step explanation:

69

The answer is:
9669
69

Find the coordinates of point B

Answers

The coordinate should be (4,5)
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