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

Question

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

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`

Monjur Alahi

7 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 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`

7 views Answered 2023-02-05 15:29