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  • The value of a for which the equation x^3+ax+1=0 and x^4+ax^2+1=0 have a common root is

The value of a for which the equation x^3+ax+1=0 and x^4+ax^2+1=0 have a common root is

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Solution:  We have,  

                x^3+ax+1=0hspace0.2cm........(1) and x^4+ax^2+1=0.........(2)

           Now,     Multiplying x in (1)

            x^4+ax^2+x=0hspace0.2cm........(3)

       From (3)-(2) we get    x-1=0Rightarrow x=1

                

           

Posted by

Deependra Verma

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