real solutions of the equation \[ (5+2 \sqrt{6})^{x^{2}-3}+(5-2 \sqrt{6})^{x^{2}-3}=10 \text {, ...

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real solutions of the equation
\[
(5+2 \sqrt{6})^{x^{2}-3}+(5-2 \sqrt{6})^{x^{2}-3}=10 \text {, is }
\]
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