MathDB
Real Roots of a Quadratic

Source:

March 3, 2010
quadratics

Problem Statement

For what real values of 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}