SOF International Mathematics Olympiad (IMO)
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Set D
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2026
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Sample
Find the roots of the quadratic equation x² + (3)x + (0) = 0.
Explanation
Explanation
We need two numbers whose sum is -3 and product is 0 (since for x² + bx + c, sum of roots = -b, product = c). Those numbers are -3 and 0, so the equation factors as (x - (-3))(x - (0)) = 0, giving x = -3 or x = 0.
PRO TIP
Re-check your working by substituting the answer back into the original question.
Related Questions
Solve the pair of linear equations for x: 1x + 3y = 12 and 5x + -1y = -20.