Mathematics - Quadratic Equation Question with Solution | TestHub

Given

$x^2-2^y=2023$

$\Rightarrow x^2=2^y+2023$

Now, if $y=1$ we get,

$\Rightarrow x^2=2025$

$\Rightarrow x=45$

And there is no other value which will satisfy the above equation,

Hence, $x=45 \& y=1$

So, $\sum _{(x,y)\in C}(x+y)=45+1=46$