Difference between revisions of "2024 Indonesia MO Problems"

(Created page with " ==Day 1== ===Problem 1=== Find all ordered pair of positive real number <math>a, b</math> which satisfy the following system of equations? <cmath>\begin{aligned}\sqrt{a}+\...")
 
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Find all ordered pair of positive real number <math>a, b</math> which satisfy the following system of equations?
 
Find all ordered pair of positive real number <math>a, b</math> which satisfy the following system of equations?
  
<cmath>\begin{aligned}\sqrt{a}+\sqrt{b}=6\\\sqrt{a-5}+\sqrt{b-5}=4\end{aligned}</cmath>
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<cmath>\begin{aligned}\sqrt{a}+\sqrt{b}&=6\\ \sqrt{a-5}+\sqrt{b-5}&=4\end{aligned}</cmath>
  
 
[[2024 Indonesia MO Problems/Problem 1|Solution]]
 
[[2024 Indonesia MO Problems/Problem 1|Solution]]

Revision as of 11:41, 27 May 2025

Day 1

Problem 1

Find all ordered pair of positive real number $a, b$ which satisfy the following system of equations?

\begin{aligned}\sqrt{a}+\sqrt{b}&=6\\ \sqrt{a-5}+\sqrt{b-5}&=4\end{aligned} (Error compiling LaTeX. Unknown error_msg)

Solution

Problem 2

Solution

Problem 3

Solution

Problem 4

Solution

Day 2

Problem 5

Solution

Problem 6

Solution

Problem 7

Solution

Problem 8

Solution

See Also

2024 Indonesia MO (Problems)
Preceded by
2023 Indonesia MO
1 2 3 4 5 6 7 8 Followed by
2025 Indonesia MO
All Indonesia MO Problems and Solutions