16Hit1600
Advanced MathMediumCompleting a perfect square

Advanced Math practice question

The expression x² + 8x + c is equal to (x + k)² for all x, where c and k are constants. What is the value of c?

Answer: 16

(x + k)² = x² + 2kx + k². Matching 2k = 8 gives k = 4, so c = k² = 16.

Common wrong answers

If you answered 4
4 is k, not c = k².
If you answered 8
8 is the coefficient b, not c.
If you answered 64
64 is 8², squaring the whole coefficient instead of half of it.

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