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Question

Let α,β be the roots of the equation (x - a) (x - b) = c, c 0. Then the roots of the equation (xα)(xβ)+c=0 are

A
a, c
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B
b, c
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C
a, b
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D
a + c, b + c
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Solution

The correct option is C a, b
(xa)(xb)c=(xα)(xβ)(xα)(xβ)+c=(xa)(xb)c+c=(xa)(xb)
Then the roots of (xα)(xβ)+c=0 are
x = a, b

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