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  • If the quadratic equation ax^2+bx+c=0 and x^2+4x+5=0 have common root then a,b,c must satisfy the relation

If the quadratic equation ax^2+bx+c=0 and x^2+4x+5=0 have common root then a,b,c must satisfy the relation

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Solution:   ecause hspace0.2cmx^2+4x+5=0   have imaginary roots and 

             ax^2+bx+c=0   also have imaginary roots.

             \ \ Rightarrow hspace2cmD=b^2-4ac< 0 \ \ Rightarrow hspace1cma=k,b=4k,c=5k,kin R-�

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Deependra Verma

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