IF alpha,beta be the roots of the equati...

IF `alpha,beta` be the roots of the equation `cx^2+2bx+2c=0` where b,c are real and `c^2gtb^2` , find the quadratic equation whose one root is `alpha+beta+sqrt(alpha^2+beta^2)`.

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The correct Answer is:

`cx^2+4bx+4c=0`

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