Quadratic Equation Question 4
Question 4 - 2024 (29 Jan Shift 2)
Let the set $C={(x, y) \mid x^{2}-2^{y}=2023, x, y \in \mathbb{N} }$. Then $\sum _{(x, y)=C}(x+y)$ is equal to
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Answer (46)
Solution
$x^{2}-2^{y}=2023$
$\Rightarrow x=45, y=1$
$\sum _{(x, y)=C}(x+y)=46$.