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1953 AMC 12 Question 44

AMC12 · 1953 AMC 12

Question 44

In solving a problem that reduces to a quadratic equation one student makes a mistake only in the constant term of the equation and obtains $8$ and $2$ for the roots. Another student makes a mistake only in the coefficient of the first degree term and finds $-9$ and $-1$ for the roots. The correct equation was:
  1. $x^2-10x+9=0$
  2. $x^2+10x+9=0$
  3. $x^2-10x+16=0$
  4. $x^2-8x-9=0$
  5. none of these