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AMC 10 Mock Exam Discussion For 9/15: Question 16

 
 
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AMC 10 Mock Exam Discussion For 9/15: Question 16
Lensmire John發表於2023年 09月 15日(Fri) 14:01
 

AMC 10 Mock Exam Question 16

If $y+4 = (x-2)^2, x+4 = (y-2)^2$, and $x \neq y$, what is the value of $x^2+y^2$?

$\displaystyle \textbf{(A) }10\qquad\textbf{(B) }15\qquad\textbf{(C) }20\qquad\textbf{(D) }25\qquad\textbf{(E) } 30$

Submit your answer and solution and explanation below! Solutions will be accepted for 48 hours until 9/17 at 2pm Pacific Time. (There's still time for yesterday's problem too: click here.)

Top solutions for all the Mock Exam questions will be collected and shared as part of a full 25 Question Mock AMC 10 Exam.

Note: The question above is a past AMC problem. Solutions submitted must be written by students. Copied solutions will be disqualified.