If a,b,c in R and equations ax^2 + bx + ...

If `a,b,c in R` and equations `ax^2 + bx + c = 0` and `x^2 + 2x + 9 = 0` have a common root, show that a:b:c=1 : 2 : 9.

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The correct Answer is:

`a:b:c=1:2:9`

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