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1958 AMC 12 Question 9

AMC12 · 1958 AMC 12

Question 9

A value of $x$ satisfying the equation $x^2+b^2=(a-x)^2$ is:
  1. $\dfrac{b^2+a^2}{2a}$
  2. $\dfrac{b^2-a^2}{2a}$
  3. $\dfrac{a^2-b^2}{2a}$
  4. $\dfrac{a-b}{2}$
  5. $\dfrac{a^2-b^2}{2}$