Advanced MathHardConstant completing a perfect square
Advanced Math practice question
If 4x² + 12x + c is equivalent to (2x + k)² for all values of x, where c and k are constants, what is the value of c?
Answer: 9
(2x + k)² = 4x² + 4kx + k², so 4k = 12, k = 3 and c = 9.
Common wrong answers
- If you answered 3
- 3 is k, not c.
- If you answered 36
- 36 squares the 6 from halving 12 twice, a slip.
- If you answered 144
- 144 squares 12.
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