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Fill in the blanks If the quadratic equa...

Fill in the blanks If the quadratic equations `x^2+a x+b=0a n dx^2+b x+a=0(a!=b)` have a common root, then the numerical value of `a+b` is ________.

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The correct Answer is:
A
Given equations are `x^(2)+ax+b=0` and `x^(2)+bx+a=0` have common root
On subtracting above equations, we get
`(a-b)x+(b-a)=0`
`implies x=1`
`thereforex=1` is the common root.
`impliesa+a+b=0`
`impliesa+b=-1`
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