Normalizing Orthogonal Functions

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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