16Hit 1600
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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