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  • If equation ax^2 +bx+c=0 and x^2+2x+3=0 have a common root ,then

If equation ax^2 +bx+c=0 and x^2+2x+3=0 have a common root ,then

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Solution:     Given equations are ,

                                          ax^2+bx+c=0        ...........(1)

                                          x^2+2x+3=0          ..............(2)

            Clearly roots of Eq.(2) are imaginary , since Eq.(1) and (1) have acommon 

           root , therefore common root must be imaginary and hence both 

          root will be common . Therefore , Eqs. (1) and (2) are identical 

                                           fraca1=fracb2=fracc3Rightarrow a:b:c=1:2:3

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Deependra Verma

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