# roots of polynomials help

Watch
Announcements
#1
roots of polynomials question:

1. The quadratic equation, ๐ฅ2+๐๐ฅ+2๐=0, where k is a non-zero constant, has roots ๐ผ+๐ฝ. Find a quadratic equation (in terms of k) with roots ๐ผ/๐ฝ ๐๐๐๐ฝ/๐ผ.

Thanks
0
2 years ago
#2
(Original post by RickHendricks)
roots of polynomials question:

1. The quadratic equation, ๐ฅ2+๐๐ฅ+2๐=0, where k is a non-zero constant, has roots ๐ผ+๐ฝ. Find a quadratic equation (in terms of k) with roots ๐ผ/๐ฝ ๐๐๐๐ฝ/๐ผ.

Thanks
The first thing is to write down and in terms of .
Then note that the new equation will have the coefficient of as and the constant as - so you want to start finding these in terms of and which you know in terms of

Also, post your maths questions in the maths forum.
0
2 years ago
#3
(Original post by RickHendricks)
roots of polynomials question:

1. The quadratic equation, ๐ฅ2+๐๐ฅ+2๐=0, where k is a non-zero constant, has roots ๐ผ+๐ฝ. Find a quadratic equation (in terms of k) with roots ๐ผ/๐ฝ ๐๐๐๐ฝ/๐ผ.

Thanks
I'm assuming that's has a root of alpha and a root of beta?
If so, since -k=the sum of the roots
And 2k= the product of the roots
then you have values to match to k
Then, you'll want to find the new sum of the roots, and product of the roots with the roots alpha/beta and beta/alpha. You can put these in terms of k as you have calculated above.
Then form the new equation
Hope that makes sense
0
#4
(Original post by RDKGames)
The first thing is to write down and in terms of .
Then note that the new equation will have the coefficient of as and the constant as - so you want to start finding these in terms of and which you know in terms of

Also, post your maths questions in the maths forum.
what is alpha + beta though? We are just told the roots are alpha+beta, not that the actual roots are alpha and beta
0
2 years ago
#5
(Original post by RickHendricks)
what is alpha + beta though? We are just told the roots are alpha+beta, not that the actual roots are alpha and beta
Pretty sure that plus is supposed to be a comma.
0
#6
(Original post by RDKGames)
Pretty sure that plus is supposed to be a comma.
nope. That's what i'm confused at.

It says alpha+beta.

I asked all the senior maths prefects in my school and neither of them could do it.
0
2 years ago
#7
(Original post by RickHendricks)
nope. That's what i'm confused at.

It says alpha+beta.

I asked all the senior maths prefects in my school and neither of them could do it.
Then the question as it stands does not make sense.
It could, however, mean that the quadratic has equal roots which are in which case we would get but it could be worded MUCH better if that is the case.
0
#8
(Original post by RDKGames)
Then the question as it stands does not make sense.
It could, however, mean that the quadratic has equal roots which are in which case we would get but it could be worded MUCH better if that is the case.
so how would we write it as alpha/beta then it the roots r alpha + beta
0
2 years ago
#9
(Original post by RickHendricks)
so how would we write it as alpha/beta then it the roots r alpha + beta
Upon actually looking at it, it seems that this is nonsense as well. So this isn't what was meant either.

Just imagine there's a comma instead of a plus and move on.

What's the official answer, if there is one?
0
2 years ago
#10
(Original post by RickHendricks)
roots of polynomials question:

1. The quadratic equation, ๐ฅ2+๐๐ฅ+2๐=0, where k is a non-zero constant, has roots ๐ผ+๐ฝ. Find a quadratic equation (in terms of k) with roots ๐ผ/๐ฝ ๐๐๐๐ฝ/๐ผ.

Thanks
Can you please post a picture of the question?
0
X

new posts
Back
to top
Latest
My Feed

### Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

see more

### See more of what you like onThe Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

### Poll

Join the discussion

#### Current uni students - are you thinking of dropping out of university?

Yes, I'm seriously considering dropping out (77)
14%
I'm not sure (24)
4.36%
No, I'm going to stick it out for now (177)
32.18%
I have already dropped out (11)
2%
I'm not a current university student (261)
47.45%