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Question

If the roots of the quadratic equation (4pp25)x2(2p1)x+3p=0 lie on either side of unity, then the number of integral values of p is
  1. 1 
  2. 2 
  3. 3 
  4. 4 


Solution

The correct option is B 2 
4pp25<0,  pR
Therefore, graph of the quadratic curve is opening downward.
According to the question, 1 must lie in between the roots.
So, f(1)>0
4pp252p+1+3p>0
p25p+4<0
(p1)(p4)<0
p(1,4)
p=2,3
 

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