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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
by John Lensmire - Friday, September 15, 2023, 2:01 PM
 

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 $x^2+y^2$?

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

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