Question
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 =3−p; a. a2 = 1 Ž a3 = 1
a = 1, w, w2 , If a = 1, p = –b
if a = w 3−p= w + w2 = –1; p = 3
but p > 0 p Ž – b hence p = 3