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1955 AMC 12 Question 30

AMC12 · 1955 AMC 12

Question 30

Each of the equations $3x^2-2=25,$ $(2x-1)^2=(x-1)^2,$ $\sqrt{x^2-7}=\sqrt{x-1}$ has:
  1. two integral roots
  2. no root greater than $3$
  3. no root zero
  4. only one root
  5. one negative root and one positive root