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1966 AMC 12 Question 23

AMC12 · 1966 AMC 12

Question 23

If $x$ is real and $4y^2+4xy+x+6=0,$ then the complete set of values of $x$ for which $y$ is real, is:
  1. $x\leq-2$ or $x\geq3$
  2. $x\leq2$ or $x\geq3$
  3. $x\leq-3$ or $x\geq2$
  4. $-3\leq x\leq2$
  5. $-2\leq x\leq3$