Question

Interesting math problem

Answer 1

Given the equation of the parabola (P)\(x=ay^2+by+c\) and the exterior point \(A(x_a,y_a)\), prove that the tangents to the parabola drawn from the given point A have the equation:
\[(y-y_a)=(\frac{ b+2ay_a \pm \sqrt{a(ay_a^2+by_a+c-x_a)} }{ b^2-4ac+4ax_a } )(x-x_a)\]

Answer 2

O my gosh...that looks REALLY confusing!