16Hit1600
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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