AMC 10 Step by Step
Log inSign up
Printable

2015 AMC 10A Problem 16

Include the solutionBack to the problem
2015 AMC 10A Problem 16AMC 10 Step by Step
Name:                             Date: September 13, 2026
Systems of Equations · difficulty 3 of 5 · about 4 min · position P16-20

If y+4=(x−2)2,x+4=(y−2)2y+4 = (x-2)^2, x+4 = (y-2)^2 , and x≠yx \neq y , what is the value of x2+y2x^2+y^2 ?

  1. A)

    1010

  2. B)

    1515

  3. C)

    2020

  4. D)

    2525

  5. E)

    30\text{30}

Working