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Kyiv City MO
2023 Kyiv City MO
2023 Kyiv City MO Round 1
Problem 1
Close integer
Close integer
Source: Kyiv City MO 2023 Round 1, Problem 8.1
December 16, 2023
algebra
expression
Problem Statement
Find the integer which is closest to the value of the following expression:
(
(
7
+
48
)
2023
+
(
7
−
48
)
2023
)
2
−
(
(
7
+
48
)
2023
−
(
7
−
48
)
2023
)
2
((7 + \sqrt{48})^{2023} + (7 - \sqrt{48})^{2023})^2 - ((7 + \sqrt{48})^{2023} - (7 - \sqrt{48})^{2023})^2
((
7
+
48
)
2023
+
(
7
−
48
)
2023
)
2
−
((
7
+
48
)
2023
−
(
7
−
48
)
2023
)
2
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