SOLUTION: show that the line y=2x+3 is the equation of the tangent of the ellipse 4x^2+2y^2=2. hence find the coordinate of the point of contact

Question 798328: show that the line y=2x+3 is the equation of the tangent of the ellipse 4x^2+2y^2=2. hence find the coordinate of the point of contact
Answer by josgarithmetic(39626) (Show Source): You can put this solution on YOUR website!
You would expect exactly one intersection point. Substitute for y and solve for x.

, that substitution done,

, apparently NOT tangent! A COMPLEX solution!

I've checked this over twice. You would not be expecting a complex solution, but you want instead a single real solution. One of your equations must be wrong.

A better look at the graph:

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