Sketch the curve with equations \(y=\frac{6x+25}{8x+12}\) and \({{x}^{2}}+{{y}^{2}}=\frac{125}{16}\) on the same diagram.
Hence, or otherwise, solve the equation \({{x}^{2}}+{{\left( \frac{6x+25}{8x+12} \right)}^{2}}=\frac{125}{16}\).
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