Maths-
General
Easy
Question
x2 + 6x + 4 Which of the following is equivalent to the expression above?
- (x +3)2 +5
- (x +3)2 −5
- (x −3)2 +5
- (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 3 x + 4
= x2 + 2 3 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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