Multiple choice

If one root of a quadratic equation x2 – px + 8 = 0 is the square of the other, what is the value of p?

  1. 6

  2. 7

  3. 8

  4. 9
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A Correct answer
Explanation

Let roots be a and a^2. Product of roots = a * a^2 = a^3 = 8, so a = 2. Sum of roots = a + a^2 = p. p = 2 + 2^2 = 6.

AI explanation

Let the roots of the quadratic equation be a and a^2. According to Vieta's formulas, the product of the roots is a * a^2 = a^3 = 8, which means a = 2 and the other root is 2^2 = 4. The sum of the roots equals p, so p = 2 + 4 = 6.

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