Question

For the equation $3x^2+px+3=0,p>0,$ if one of the root is square of the other, then p is equal to

• A. 44564
• B. 1
• C. 3
• D. 44595

Answer 1

Answer: (C)

3

Answer 2

The correct option is(C): 3.

Let α and α² represent the roots of the quadratic equation 3x² + px + 3 = 0. Given this, we can deduce that S = α + α² equals -3/p, and P = α³ equals 1. Solving for α, we find the solutions α = 1, ω, and ω². With α + α² = -3/p, we can determine that ω + ω² = -3/p, which leads to -1 = -3/p and subsequently p = 3.