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Determine the Real Solutions to the System of Nonlinear Equations y=x22x+1y=x2+8x7\begin{array} { l } y = x ^ { 2 } - 2 x + 1 \\y = - x ^ { 2 } + 8 x - 7\end{array}

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Determine the real solutions to the system of nonlinear equations.
- y=x22x+1y=x2+8x7\begin{array} { l } y = x ^ { 2 } - 2 x + 1 \\y = - x ^ { 2 } + 8 x - 7\end{array}

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