Theory of Equations 1 Question 27

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

(2000, 1M)

(a) 1/3

(b) 1

(c) 3

(d) 2/3

Show Answer

Answer:

Correct Answer: 28. (c)

Solution:

  1. Let α,α2 be the roots of 3x2+px+3=0

Now,

S=α+α2=−p/3P=α3=1

⇒α=1,ω,ω2

Now, α+α2=−p/3

⇒ω+ω2=−p/3

⇒−1=−p/3⇒p=3

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