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  • If alpha , beta are the roots of the equation (x-a)(x-b)=c, Then , find the root of the equation (x-alpha)(x-beta) +c=0

If alpha , beta are the roots of the equation (x-a)(x-b)=c, Then , find the root of the equation (x-alpha)(x-beta) +c=0

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Solution: Since , alpha , eta are the roots of \ (x-a)(x-b)-c=0

Then   (x-a)(x-b)-c=(x-alpha )(x-eta )

\ Rightarrow        (x-alpha )(x-eta )+c=(x-a)(x-b)

Hence , roots of (x-alpha )(x-eta )+c=0 are a,b

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Deependra Verma

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