NJC Tutorial Curve Sketching Q4

NJC Tutorial Curve Sketching Q4

Tutorial

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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Answer:\(x = -2.5\), \(-0.5\) or \(2.5\)

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