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

1951 AHSME Problems/Problem 49

Revision as of 14:45, 13 April 2012 by AplayerDanny (talk | contribs) (Created page with "Two equations can be written: <math>x^2 + 4y^2 = 40</math> and <math>4x^2+y^2= 25</math> Add them together and get <math>5x^2+5y^2=65</math> then <math>x^2+y^2=13</math> Multiply...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Two equations can be written: $x^2 + 4y^2 = 40$ and $4x^2+y^2= 25$ Add them together and get $5x^2+5y^2=65$ then $x^2+y^2=13$ Multiply them by 4 to get the square of the value of the hypotenuse which is 52. Take the square root and get the answer $2SQRT13$

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1951_AHSME_Problems/Problem_49&oldid=46312"