Advanced MathVery hardInput for a given output of a quadratic
Advanced Math practice question
The function h is defined by h(x) = (x − 3)² + 1. For what positive value of x is h(x) = 17?
Answer: 7
(x − 3)² = 16, so x − 3 = ±4 and x = 7 or −1. The positive value is 7.
Common wrong answers
- If you answered 4
- 4 is x − 3, not x.
- If you answered 19
- 19 comes from (x − 3)² = 16 solved as x = 16 + 3.
- If you answered -1
- −1 is the other solution, but the question asks for the positive one.
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