Write the quadratic equation such that the sum of its roots is and the product of its roots is I know that and

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- May 27th 2008, 04:57 PM~berserkQuadratic Eq.
Write the quadratic equation such that the sum of its roots is and the product of its roots is I know that and

- May 27th 2008, 05:03 PMsean.1986
- May 27th 2008, 06:54 PMReckoner
Hi, berserk! The easiest way to solve this problem is probably trial and error, but if you want the general solution with a more systematic approach:

Let the roots of our quadratic be . We have and . This gives us the system of linear equations:

Now, let be some arbitrary value . Then we have as our solution:

Now just pick a (nonzero) value for ! For example, with we have