The quadratic has two positive integer roots which differ by . What is ?

Answer and explanation

Correct answer: A.

  1. Step 1: The roots multiply to and differ by , so they are and (the other factor pairs ; differ by and ).
  2. Step 2: The roots add to , so .
Answer
.
Why not the others: The factor pairs of are with sum and difference , with sum and difference , and with sum and difference . Only differs by ; is the product, not the sum.

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