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1974 AMC 12 Question 10

AMC12 · 1974 AMC 12

Question 10

What is the smallest integral value of $k$ such that $$
2x(kx-4)-x^2+6=0
$$ has no real roots?
  1. $-1$
  2. $2$
  3. $3$
  4. $4$
  5. $5$