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Multiple choice

If the roots of the equation x2 - px + 54 = 0 are in the ratio 2 : 3, then value of p is:

  1. 18

  2. 21

  3. -21

  4. 15

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let roots be 2k and 3k. Product of roots = 6k^2 = 54, so k^2 = 9, k = 3 or -3. Roots are 6 and 9 (sum = 15) or -6 and -9 (sum = -15). Since p is the sum of roots, p = 15 or -15. Option D is 15.

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