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SASMO 2021 Grade 10 Question 23

SASMO · SASMO 2021 Grade 10

Question 23

Both equations $x^2-ax+b=0$ and $x^2-bx+a=0$ have positive integer roots. How many distinct values of $a-b$ are possible?

Interpretation: Repeated positive integer roots are allowed.

Answer format: enter the integer answer without units. Leading zeros are optional; the original paper uses four-digit boxes.