Art of Problem Solving

AoPS Online

1962 AHSME Problems/Problem 34

Revision as of 22:23, 9 November 2013 by Fadebekun (talk | contribs) (Created page with "==Problem== For what real values of <math>K</math> does <math>x = K^2 (x-1)(x-2)</math> have real roots? <math> \textbf{(A)}\ \text{none}\qquad\textbf{(B)}\ -2<K<1\qquad\textbf...")

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

For what real values of $K$ does $x = K^2 (x-1)(x-2)$ have real roots?

$\textbf{(A)}\ \text{none}\qquad\textbf{(B)}\ -2<K<1\qquad\textbf{(C)}\ -2\sqrt{2}< K < 2\sqrt{2}\qquad$

$\textbf{(D)}\ K>1\text{ or }K<-2\qquad\textbf{(E)}\ \text{all}$

Solution

"Unsolved"

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1962_AHSME_Problems/Problem_34&oldid=57573"

© 2024 AoPS Incorporated