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Question

The value of a for which x3+ax+1=0 and x4+ax2+1=0 have exactly one common root is 
  1. 3
  2. 2
  3. 1
  4. 0


Solution

The correct option is B 2
x3+ax+1=0   (1)x4+ax2+1=0   (2)
Subtracting x×(1) from (2), we get
1x=0x=1
Putting x=1 in equation (1), we get
1+a+1=0a=2

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