SOF International Mathematics Olympiad (IMO)
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Set C
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2026
.
Sample
Find the roots of the quadratic equation x² + (-2)x + (-24) = 0.
Explanation
Explanation
We need two numbers whose sum is 2 and product is -24 (since for x² + bx + c, sum of roots = -b, product = c). Those numbers are 6 and -4, so the equation factors as (x - (6))(x - (-4)) = 0, giving x = 6 or x = -4.
PRO TIP
Re-check your working by substituting the answer back into the original question.