Show that for all values of t, the point P with the equation(adsbygoogle = window.adsbygoogle || []).push({});

x=2t^2, y=t^3 lies on the curve 8y^2=x^3

Find the equation of the tangent to the curve at point P.

The tangent meets the curve once again at point Q. Find the coordinates of point Q.

I can find the equation of the tangent.

After finding the tangent, I try to solve it by using the two equation. At the end I get 9t^2x^2-12t^4x+4t^6=2x^3. Is it the right way? It seems complicated.

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# Tangent and Curves

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