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Degger [83]
2 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]2 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
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Answer:

7/9 or 2/9, depending on the question!

Step-by-step explanation:

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Probability that the next sundae does not have nuts = 2/9

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3 years ago
Which sequence is geometric? 1, 5, 9, 13, ... 2, 6, 8, 10, ... 5, 7, 9, 11, ... 4, 8, 16, 32, ... ​
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4, 8, 16, 32

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2 years ago
The price of gold has increased by 35% per year from 2000. In the year 2000, Harry bought a gold ring for $590. Which of the fol
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3 0
3 years ago
A train is 300 meters long. A tunnel is 2900 meters long. The train travels at 600 meters per min. How long is the time between
sattari [20]

ANSWER: 5 minutes 20 seconds

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8 0
3 years ago
Read 2 more answers
Solve the following equations x1/3=2 <br> Y-2=9<br> (2s)1/2=9<br> 2n-1=16
Nookie1986 [14]

x \times  \frac{1}{3}  = 2 \\  =  > x = 2 \times 3 \\  =  > x = 6

y - 2 = 9 \\  =  > y = 9 + 2 = 11

(2s) \frac{1}{2}  = 9 \\  =  > s = 9

2n - 1 = 16 \\  =  > 2n = 16 + 1 \\  =  > 2n = 17 \\  =  > n =  \frac{17}{2}  = 8.5

<h3>The answers are :</h3><h3>x = 6</h3><h3>y = 11</h3><h3>s = 9</h3><h3>n = 8.5</h3><h3>Hope it helps!</h3><h3 />

7 0
2 years ago
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