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The equation x^(2)+bx+c=0 has distinct r...

The equation `x^(2)+bx+c=0` has distinct roots. If `2` is subtracted from each root the result are the reciprocal of the original roots, then `b^(2)+c^(2)` is

A

`2`

B

`3`

C

`4`

D

`5`

Text Solution

Verified by Experts

The correct Answer is:
D
`(d)` Let `r_(1)`, `r_(2)` be the roots, from given condition
`r-2=(1)/®impliesr^(2)-2r-1=0`, `b=-2`, `c=-1`, `b^(2)+c^(2)=5`
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