Question
Question: For the equation 3x<sup>2</sup> + Px + 3 = 0, P \> 0 if one root of the equation is square of the o...
For the equation 3x2 + Px + 3 = 0, P > 0 if one root of the
equation is square of the other then P equals
A
1/3
B
1
C
3
D
2/3
Answer
3
Explanation
Solution
3x2 + px + 3 = 0
Let the roots be a, b so let a2 = b
Now a + a2 = –3p
a. a2 = 33= 1
We know w + w2 = –1, w3 = 1
on comparing
p = 3