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1963 AMC 12 Question 14

AMC12 · 1963 AMC 12

Question 14

Given the equations $x^2+kx+6=0$ and $x^2-kx+6=0.$ If, when the roots of the equations are suitably listed, each root of the second equation is $5$ more than the corresponding root of the first equation, then $k$ equals:
  1. $5$
  2. $-5$
  3. $7$
  4. $-7$
  5. none of these