Advanced MathMediumGap between a quadratic's roots
Advanced Math practice question
The solutions of x² − 11x + 28 = 0 are p and q, with p > q. What is the value of p − q?
Answer: 3
The roots multiply to 28 and add to 11: 7 and 4. So p − q = 3.
Common wrong answers
- If you answered 11
- 11 is the sum of the roots, not their difference.
- If you answered 28
- 28 is the product of the roots.
- If you answered -3
- p is the larger root (7), so p − q is positive.
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