1969 AHSME Problems/Problem 19

Revision as of 22:45, 30 September 2014 by Timneh (talk | contribs) (Created page with "== Problem == The number of distinct ordered pairs <math>(x,y)</math> where <math>x</math> and <math>y</math> have positive integral values satisfying the equation <math>x^4y^4-...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

The number of distinct ordered pairs $(x,y)$ where $x$ and $y$ have positive integral values satisfying the equation $x^4y^4-10x^2y^2+9=0$ is:

$\text{(A) } 0\quad \text{(B) } 3\quad \text{(C) } 4\quad \text{(D) } 12\quad \text{(E) } \infty$

Solution

$\fbox{D}$

See also

1969 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 18
Followed by
Problem 20
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
All AHSME Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png