Polynomials, Cubic Equations and Partial Fractions - Linear and Non-Linear Simultaneous Equations

Polynomials, Cubic Equations and Partial Fractions - Linear and Non-Linear Simultaneous Equations

TGM Original Questions

Determine the coordinates of the points of intersection between the lines \(3x+4y=6\) and \(2{{x}^{2}}+3xy-5{{y}^{2}}=0\).

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Answer:\(\left(\dfrac{30}{7},-\dfrac{12}{7}\right)\) and \(\left(\dfrac67,\dfrac67\right)\)

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