Given the equation: \(x^2 - 2^y = 2023\)
Step 1. By trial, we find that \( x = 45 \) and \( y = 1 \) satisfy the equation, as:
\(45^2 - 2^1 = 2025 - 2 = 2023\)
Step 2. Thus, the only solution in \( C \) is \( (x, y) = (45, 1) \).
Step 3. Calculate \( \sum_{(x, y) \in C} (x + y) \):
\(\sum_{(x, y) \in C} (x + y) = 45 + 1 = 46\)
The Correct Answer is: 46
In the following figure, four overlapping shapes (rectangle, triangle, circle, and hexagon) are given. The sum of the numbers which belong to only two overlapping shapes is ________
The table shows the data of 450 candidates who appeared in the examination of three subjects – Social Science, Mathematics, and Science. How many candidates have passed in at least one subject?
How many candidates have passed in at least one subject?
Match List-I with List-II: List-I