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Question: For the equation 3x<sup>2</sup> + px + 3 = 0, p \> 0, if one of the root is the square of the other,...

For the equation 3x2 + px + 3 = 0, p > 0, if one of the root is the square of the other, then p is equal to-

A

1/3

B

1

C

3

D

2/3

Answer

3

Explanation

Solution

a + a2 =p3\frac{- p}{3}; a. a2 = 1 Ž a3 = 1

a = 1, w, w2 , If a = 1, p = –b

if a = w p3\frac{- p}{3}= w + w2 = –1; p = 3

but p > 0 p Ž – b hence p = 3