The roots of the quadratic equation , where q is not 0 are and and the

roots of the quadratic equation is and . For any p ,p' and q , show that the sum of the four possible values of k is .

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- January 14th 2009, 11:14 PMmathaddictPolynomial help again ..
The roots of the quadratic equation , where q is not 0 are and and the

roots of the quadratic equation is and . For any p ,p' and q , show that the sum of the four possible values of k is . - January 15th 2009, 12:01 AMNonCommAlg
- January 15th 2009, 06:49 AMmathaddictRe :
- January 15th 2009, 07:44 AMIsomorphism
- January 15th 2009, 11:16 PMmathaddictRE :
This is what i did so far , trying to get the roots of this equation .

Let and substituting into the equation , i got

Till here , i have no idea how to get the roots . - January 15th 2009, 11:37 PMIsomorphism
You

the roots. All you need is**dont need to find**of the roots. Looking at the polynomial equation, cant you tell the sum of the roots in terms of its coefficients?**the sum** - January 15th 2009, 11:50 PMmathaddictRe :
Oh alright , my mistake . By the way , i understand for quadratic equation

The sum of roots is -b/a

But for quartic equation , i am not sure which is the sum of roots . - January 15th 2009, 11:58 PMIsomorphism
- January 16th 2009, 12:03 AMmathaddictRe :
Thanks a lot iso , for clearing all my doubts ..

- January 16th 2009, 12:13 AMIsomorphism
I think it is a good thing to know Vieta's formulae to solve problems similar to the ones you have posed. You can read it from here.

- January 16th 2009, 02:50 AMGrandadDisplay problem
- January 16th 2009, 08:53 AMIsomorphism
- January 16th 2009, 10:04 AMGrandadDisplay problem