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The least value of ( ² -6 +3 ² +2 ) is

Options

  1. A-1
  2. B1
  3. C4- 10
  4. D4+ 10

Correct answer

C. 4- 10

Step-by-step solution

^2 + 3 ^2 - 3 2 + 2 . Using double angle formulas: = 1+ 2 2 + 3(1- 2 ) 2 - 3 2 + 2 = 4 - 2 - 3 2 . Minimum of - 2 - 3 2 = - 1+9 = - 10 . Least value = 4 - 10 .

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