Question:

The roots of the equation are and . If = , find the possible values of .

My workings:

Can anyone facilitate in solving this problem?

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- Feb 5th 2011, 03:31 AMPythagorasNeophyteSum and product of roots, this is so confusing!
**Question:**

The roots of the equation are and . If = , find the possible values of .

My workings:

Can anyone facilitate in solving this problem? - Feb 5th 2011, 03:39 AMDrSteve
Use the fact that the product of the roots is and the sum of the roots is (which you showed), together with .

- Feb 5th 2011, 03:47 AMPythagorasNeophyte
Hello DrSteve:

Is this correct? - Feb 5th 2011, 03:56 AMCaptainBlack
You can check yourself: from that last equation solve for the numerical value of k, substitute back into the original equation and solve to find the roots and check that the sum of the squares of the roots is 20/3.

And the answer is no, , you are told:

CB - Feb 5th 2011, 04:02 AMDrSteve
- Feb 5th 2011, 07:23 AMCaptainBlack