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Let the wavefunction of a particle be

$\Psi(x,0)=A(\sqrt{2}{\psi}_{1}(x)+\sqrt{5}{\psi}_{2}(x)),$

where ${\psi}_{1}(x)$ and ${\psi}_{1}(x)$ are orthogonal. Calculate the normalization constant $A$ to three decimal places.

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