16Hit1600
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.

More Advanced Math questions

Not affiliated with the College Board. SAT is a trademark of the College Board.