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AMC 12/AHSME
1962 AMC 12/AHSME
34
34
Part of
1962 AMC 12/AHSME
Problems
(1)
Real Roots of a Quadratic
Source:
3/3/2010
For what real values of
K
K
K
does x \equal{} K^2 (x\minus{}1)(x\minus{}2) have real roots?
(A)
\ \text{none} \qquad
(B)
\ \minus{}2
(C)
\ \minus{}2 \sqrt{2} < K < 2 \sqrt{2} \qquad
(D)
\ K>1 \text{ or } K<\minus{}2 \qquad
(E)
\ \text{all}
quadratics