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

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

IP 3

Find the coordinates of the points of intersection of the line \(2x + y = 3\) and the curve \(3x^2 - y^2 + 4xy - 6 = 0\).

Solution:

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Answer:\((1,1)\) and \(\left(\dfrac53,-\dfrac13\right)\).

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