The roots of the quadratic equation are 13 and 3. The quadratic equation can be written as (x - 13)(x - 3) = 0

(x - 13)(x - 3) = 0

=> x^2 - 13x - 3x + 39 = 0

=> x^2 - 16x + 39 = 0

**The required quadratic equation is x^2 - 16x + 39 = 0**

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