Difference between revisions of "2010 UNCO Math Contest II Problems/Problem 9"
(Created page with "== Problem == (a) Find integers <math>A, B</math>, and <math>C</math> so that <math>A^3+B^4=C^5.</math> Express your answers in exponential form. (b) Find integers <math>A, B,...") |
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== Solution == | == Solution == | ||
| + | (a) <math>A=2^8,B=2^6,C=2^5</math> | ||
| + | |||
| + | (b) <math>A=3^{20},B=3^{15},C=3^{12},D=61</math> | ||
== See also == | == See also == | ||
| − | {{ | + | {{UNCO Math Contest box|year=2010|n=II|num-b=8|num-a=10}} |
[[Category:Intermediate Algebra Problems]] | [[Category:Intermediate Algebra Problems]] | ||
Latest revision as of 02:57, 13 January 2019
Problem
(a) Find integers 
, and 
so that 
Express your answers in exponential form.
(b) Find integers 
and 
so that 
Solution
(a) 
(b) 
See also
| 2010 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 8 |
Followed by Problem 10 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNCO Math Contest Problems and Solutions | ||
