# roots of polynomials help

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roots of polynomials question:

1. The quadratic equation, ๐ฅ2+๐๐ฅ+2๐=0, where k is a non-zero constant, has roots ๐ผ+๐ฝ. Find a quadratic equation (in terms of k) with roots ๐ผ/๐ฝ ๐๐๐๐ฝ/๐ผ.

no idea where to start please help

Thanks

1. The quadratic equation, ๐ฅ2+๐๐ฅ+2๐=0, where k is a non-zero constant, has roots ๐ผ+๐ฝ. Find a quadratic equation (in terms of k) with roots ๐ผ/๐ฝ ๐๐๐๐ฝ/๐ผ.

no idea where to start please help

Thanks

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#2

(Original post by

roots of polynomials question:

1. The quadratic equation, ๐ฅ2+๐๐ฅ+2๐=0, where k is a non-zero constant, has roots ๐ผ+๐ฝ. Find a quadratic equation (in terms of k) with roots ๐ผ/๐ฝ ๐๐๐๐ฝ/๐ผ.

no idea where to start please help

Thanks

**RickHendricks**)roots of polynomials question:

1. The quadratic equation, ๐ฅ2+๐๐ฅ+2๐=0, where k is a non-zero constant, has roots ๐ผ+๐ฝ. Find a quadratic equation (in terms of k) with roots ๐ผ/๐ฝ ๐๐๐๐ฝ/๐ผ.

no idea where to start please help

Thanks

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.

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**RickHendricks**)

roots of polynomials question:

1. The quadratic equation, ๐ฅ2+๐๐ฅ+2๐=0, where k is a non-zero constant, has roots ๐ผ+๐ฝ. Find a quadratic equation (in terms of k) with roots ๐ผ/๐ฝ ๐๐๐๐ฝ/๐ผ.

no idea where to start please help

Thanks

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

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(Original post by

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.

**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.

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#5

(Original post by

what is alpha + beta though? We are just told the roots are alpha+beta, not that the actual roots are alpha and beta

**RickHendricks**)what is alpha + beta though? We are just told the roots are alpha+beta, not that the actual roots are alpha and beta

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(Original post by

Pretty sure that plus is supposed to be a comma.

**RDKGames**)Pretty sure that plus is supposed to be a comma.

It says alpha+beta.

I asked all the senior maths prefects in my school and neither of them could do it.

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#7

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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.

**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.

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.

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(Original post by

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.

**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.

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#9

(Original post by

so how would we write it as alpha/beta then it the roots r alpha + beta

**RickHendricks**)so how would we write it as alpha/beta then it the roots r alpha + beta

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

What's the official answer, if there is one?

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#10

**RickHendricks**)

roots of polynomials question:

1. The quadratic equation, ๐ฅ2+๐๐ฅ+2๐=0, where k is a non-zero constant, has roots ๐ผ+๐ฝ. Find a quadratic equation (in terms of k) with roots ๐ผ/๐ฝ ๐๐๐๐ฝ/๐ผ.

no idea where to start please help

Thanks

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