This is the question:

Estimate the point(s) of intersection:

$\displaystyle x^2 + y^2 = 9$

$\displaystyle y = x^2 - 4x + 5$

I substituted the parabola straight into the circle eqn, like so:

$\displaystyle x^2 + (x^2 - 4x + 5)^2 = 9$

Expanding that out using

FOIL method:

$\displaystyle x^2 + x^4 -4x^3 + 5x^2 -4x^3 +16x^2 -20x + 5x^2 -20x + 25 = 9$

I simplified it to:

$\displaystyle x^4 - 8x^3 + 27x^2 - 40x = -16$

I'm not sure how to solve for x. It says "estimate", so perhaps I'm approaching this incorrectly?