# Legend $$2^{x}$$

Determine all pairs $$(x, y)$$ of integers satisfying the equation:$1+2^{x}+2^{2x+1}=y^{2}$ If your answers are $(x_{1};y_{1}),(x_{2};y_{2}),\cdot\cdot\cdot,(x_{n};y_{n})$ type it as $y_{1}^{x_{1}}+y_{2}^{x_{2}}+ \cdot\cdot\cdot +y_{n}^{x_{n}}$

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