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**ABC1234****Member**- Registered: 2016-12-22
- Posts: 15

Please help on following:

1) Suppose r and s are the values of x that satisfy the equation

for some real number m. Find the minimum real value of .Using vieta's I used the coefficients of the quadratic to express as , but I don't know what to do after that.

2) Let

and let be the roots of f(x). Compute .Thank you

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 108,752

Hi dazzle1230;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**thickhead****Member**- Registered: 2016-04-16
- Posts: 1,051

**{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha{Gods rejoice at those places where ladies are respected.}**

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**ABC1234****Member**- Registered: 2016-12-22
- Posts: 15

1) I got -8 too after completing the square: 2m^2-4m-6 -> 2(m^2-2m-3) -> 2((x-1)^2-4). Thanks!

2) I'm not sure about this problem though. All I know so far is that for

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That's a good start. Now, what is ? And ?

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**thickhead****Member**- Registered: 2016-04-16
- Posts: 1,051

**{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha{Gods rejoice at those places where ladies are respected.}**

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thickhead wrote:

I get that too.

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**ABC1234****Member**- Registered: 2016-12-22
- Posts: 15

I see after using substitution but what about -4x+3?

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How can you relate the sum of the roots of a polynomial to its coefficients?

*Last edited by zetafunc (2016-12-25 08:56:13)*

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**ABC1234****Member**- Registered: 2016-12-22
- Posts: 15

I know how to find the sum of roots using vieta's, but how am I supposed to find the coefficients?

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You only need the coefficients of and

*Last edited by zetafunc (2016-12-27 04:50:38)*

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