Curve $y=2^{x}-x^{2}, y(x) \& y^{\prime}(x)$ cut $x$-axis in $M \& N$ number of points respectively, find $M+N$.
$y(x)=2^{x}-x^{2}$
$y^{\prime}(x)=2^{x} \log 2-2 x$
$M=3$
$N=2$
$M+N=5$
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