Question

For the equation 3x² + px + 3 = 0, p > 0, if one of the roots is square of other, than p =

• A. 1/3
• B. 1
• C. – 6
• D. 3

Answer 1

Answer: (D)

3

Answer 2

Let a, a² be roots, then a³ = 1 Ž a = 1 , w, w²

Now, a + a² = –p/3 ; 1 + 1 = –p/3 or w + w² = –p/3

p = – 6 (not possible) or p = 3 (Q 1 + w + w² = 0)