16Hit1600
Advanced MathVery hardConstant when one root is three times the other

Advanced Math practice question

The solutions to x² − 8x + c = 0 are p and q, where p = 3q. What is the value of c?

Answer: 12

p + q = 8 and p = 3q give 4q = 8, so q = 2 and p = 6. Then c = pq = 12.

Common wrong answers

If you answered 6
6 is p alone.
If you answered 8
8 is the sum of the roots.
If you answered 16
16 uses roots 4 and 4.

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