Two prime numbers are roots of the quadratic equation . What value of makes this a true statement?

Source: mathcontest.olemiss.edu 11/13/2006

**SOLUTION**

Let and be two prime numbers that are roots of the quadratic equation .

We factor the equation as follows:

develop the right hand side

simplify

Compare the left and right hand side of the above equation

and

Try a few prime numbers

YES a solution

NOT a solution because is not prime

NO

NO

Thus,

**Answer**: .

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