1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Degger [83]
3 years ago
10

If α and β are the zeroes of a quadratic polynomial x²+x-2 then find the value of (α/β+2) (β/α+2)

Mathematics
1 answer:
Korvikt [17]3 years ago
3 0
Βα =  -2 and α+β= -1

(α/β +2)(β/α+ 2)
= 1 + 4 + 2β/α + 2α/β
= 5 + 2(β/α+α/β)
= 5 + 2  [(α^2+β^2) / αβ]
α^2+β^2 = (α+β)^2 - 2αβ =  1 - 2(-2) = 5

SO THE ANSWER IS 5+2(5/-2) = 5 - 5 = 0
You might be interested in
A pharmacist put 4.536 ounces of vitamin pills into bottles. She put 0.042 ounce of vitamin pills into each bottle.
ValentinkaMS [17]

Answer:

108 bottles

Step-by-step explanation:

4.536 divided by .042 equals 108

5 0
3 years ago
Read 2 more answers
Y=x+ 5 <br>y = 6<br>HELP!!<br>Solve this system of equation algerbraically.​
kati45 [8]

Answer:

x = 1

Step-by-step explanation:

plug y = 6 on to the equation y =x + 5

=> 6 = x +5

=> x = 1

5 0
3 years ago
Read 2 more answers
Susan took out a personal loan for $3,500 at an interest rate of 13% compounded monthly. she made arrangements to pay the loan o
Nadya [2.5K]

Susan's monthly payment will be $117.93.

We have Susan take out a personal loan for $3,500 at an interest rate of 13% compounded monthly.

P=3500

r=30%

t=3

<h3>What is the amortization formula?</h3>

A = \frac{P(\frac{r}{12} )}{(1 -(1 +r/12)^{(-12t)}}

Where A is the payment,

P= principal,

r =the annual interest rate

t is the number of years.

use the given value in the formula we get

A = \frac{3500(0.13/12)}{(1 -(1 +0.13/12)^{-36} }

A=117.9288

A= 117.93

Susan's monthly payment will be $117.93.

To learn more about the monthly payment visit:

brainly.com/question/25109150

5 0
2 years ago
Robert invests $1,100 at an annual interest rate of 8% for the period of 1 year. What equation shows the relationship between pr
Charra [1.4K]
88 dollars hope this helps
4 0
3 years ago
Read 2 more answers
if the sum of 4 and a number is divided by that number, the result is the quotient of the number and find all such numbers
forsale [732]
4+X/X=X
4+X=X*X
when the answer fits the equation, the answer is correct
<span />
5 0
3 years ago
Other questions:
  • These box plots show the number of points scored per game for two professional basketball players, Michael Jordan and Wilt Chamb
    15·2 answers
  • When 4(0.5x+2.5y-0.7x-1.3y+4)is simplified, what is the resulting expression?
    14·2 answers
  • HELP WITH 20 PLEASE!
    7·1 answer
  • Which of the statements below are true? Select all that apply. A correlation of r = .92 indicates a strong, positive correlation
    15·2 answers
  • I put down D as the right answer but it said it was wrong. So whats the right answer?
    9·1 answer
  • Brenda owns 6 acres of farmland. She grows com on three-fourths of the land. On how many acres of land does Brenda grow corn? Wh
    6·2 answers
  • 2) Suppose that circles A and B have a central angle measuring 40°. Additionally, circle A has a radius of 5 2 ft and the radius
    9·1 answer
  • Freidy is practicing for the marathon. It takes him 1.75 hours to run 12.25 miles. At this rate, how long will it take you to co
    11·2 answers
  • Original 42.54 marked down 30% what is the new price
    12·1 answer
  • Can someone do this for me please?! Just the answer pls
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!