Steffensen's method: Difference between revisions
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We want to try to find the points of intersection.
The method we will use is ''implicitization''. In this method, one first rewrites one of the curves as an [[wp:Implicit_function|implicit equation]] in <math>x</math> and <math>y</math>. For this we will use the parabola that is convex upwards: it has implicit equation <math>5x^2 + y - 5 = 0</math>. Then what one does is plug the parametric equations of the ''other'' curve into the implicit equation.
That is easier said than done.
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