The number of values of a for which equations x3+ax+1=0 and x4+ax2+1=0 have a common root is

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infinite

answer is B.

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Detailed Solution

Given equations are x3+ax+1=0 or x4+ax2+x=0 (1) and x4+ax2+1=0 (2)From (1) - (2), we get x = 1. Thus, x = 1 is the common roots.Hence,1+a+1=0⇒a=−2

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