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Let alpha , beta be the roots of the eq...

Let ` alpha , beta` be the roots of the equation (x-a) (x-b) = ` c , cne 0` , then find the roots of the equation ` (x - alpha) (x -beta) + c = 0`

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Accordingly, `alpha and beta and " roots" of (x -a) (x-b) -c=0`
` Rightarrow (x-a) (x-b) --c -= (x -alpha) (x -beta) =0`
` Rightarrow (x -a) (x-b)-= (x -alpha) (x -beta) + c`
Which shows that a and b are roots of
` (x -alpha) (x-beta) + c =0`
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