If the equations x^2+ ax + b =0 and x^2 + bx +a =0 have exactly one common root, then numerical value of a+ b is

Dear sudha ,

let common root be k

K^2 + ka +b =0

K^2 + kb +a =0

subtract the equations

k = 1     putting this value

1 +a+b =0   i.e  a+b =-1

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