Normalizing Orthogonal Functions

Classical Mechanics Level 5

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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