The quadratic has two positive integer roots which differ by . What is ?
Answer and explanation
Correct answer: A.
- Step 1: The roots multiply to and differ by , so they are and (the other factor pairs ; differ by and ).
- 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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