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The value of for which the sum of the squares of the roots of the equation x^2-(a-2) x-a-1=0 assume the least value is

Options

  1. A1
  2. B0
  3. C3
  4. D2

Correct answer

A. 1

Step-by-step solution

aligned & x^2-(a-2) x-a-1=0 & + =a-2 & =-(a+1) & ^2+ ^2=( + )^2-2 & =a^2-2 a+6=(a-1)^2+5 & a=1 . aligned

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