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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 = –p3\frac{p}{3}

a. a2 = 33\frac{3}{3}= 1

We know w + w2 = –1, w3 = 1

on comparing

p = 3