Advanced MathMediumCoefficient of the middle term
Advanced Math practice question
For all x, (x + 5)² − (x² + 25) = kx, where k is a constant. What is the value of k?
Answer: 10
(x + 5)² = x² + 10x + 25. Subtracting x² + 25 leaves 10x, so k = 10.
Common wrong answers
- If you answered 0
- 0 would mean (x + 5)² equals x² + 25, a common but false belief.
- If you answered 5
- 5 forgets to double the cross term: 2 × 5 = 10.
- If you answered 25
- 25 is the constant that cancels, not k.
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