Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

1964 AHSME Problems/Problem 30

Revision as of 17:46, 5 March 2014 by Bobthesmartypants (talk | contribs) (Created page with "==Problem== The larger root minus the smaller root of the equation <cmath>(7+4\sqrt{3})x^2+(2+\sqrt{3})x-2=0</cmath> is <math>\textbf{(A) }-2+3\sqrt{3}\qquad\textbf{(B) }2-\sq...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

The larger root minus the smaller root of the equation \[(7+4\sqrt{3})x^2+(2+\sqrt{3})x-2=0\] is

$\textbf{(A) }-2+3\sqrt{3}\qquad\textbf{(B) }2-\sqrt{3}\qquad\textbf{(C) }6+3\sqrt{3}\qquad\textbf{(D) }6-3\sqrt{3}\qquad \textbf{(E) }3\sqrt{3}+2$

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1964_AHSME_Problems/Problem_30&oldid=60646"