Real Roots of a Quadratic
Source:
March 3, 2010
quadratics
Problem Statement
For what real values of 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}