Maths-
General
Easy

Question

x2 + 6x + 4 Which of the following is equivalent to the expression above?

  1. (x +3)2 +5
  2. (x +3)2 −5
  3. (x −3)2 +5
  4. (x −3)2 −5

The correct answer is: (x +3)2 −5


    HINT – Use the method of completing the square
    SOLUTION – The given equation is x2 + 6x + 4
    We will use the method of completing the square
    x2 + 6x + 4 =  x2 + 2 cross timescross times x + 4
    =  x2 + 2 cross timescross times x + 32 – 32 + 4
    =  ( x +  3)2 – 32 + 4
    =  ( x + 3 )2 – 9 + 4
    =  (x + 3)2 – 5
    So, option B is correct

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