16Hit1600
Advanced MathVery hardValue of y squared at the solutions of a circle-line system

Advanced Math practice question

The system x² + y² = 20 and y = 2x has two solutions. What is the value of y² at either solution?

Answer: 16

Substituting: x² + 4x² = 20, so x² = 4 and y² = 4x² = 16.

Common wrong answers

If you answered 4
4 is x², not y².
If you answered 8
8 is 2x², a slip in squaring 2x.
If you answered 20
20 is x² + y².

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