16Hit1600
Advanced MathEasy–MediumTwo inputs with the same output for a shifted square

Advanced Math practice question

The function f is defined by f(x) = (x − 3)² + 1. If f(5) = f(a) and a ≠ 5, what is the value of a?

Answer: 1

f(5) = 4 + 1 = 5. The other input with (x − 3)² = 4 is x − 3 = −2, so x = 1.

Common wrong answers

If you answered 3
3 gives 1, the minimum.
If you answered -5
−5 gives (−8)² + 1 = 65.
If you answered -1
−1 gives 17.

More Advanced Math questions

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