Tribute to a very special woman...

The following was written by one of my daughters. It expresses what each of
us feels every day after six years...
A little boy walks by alone on the sidewa...
1 month ago
The answer is (6, 36).
ReplyDeleteThe equation of the circle has the form
x^2 + y^2 + ax + by + c = 0.
After substituting y = x^2, we have
x^2 + x^4 + ax + bx^2 + c = 0.
This is a fourthdegree equation, and the sum of the roots is zero, because the coefficient of x^3 is zero.
It is given that 1, 2, and 3 are roots. So the fourth root must be 6, and so the fourth point of intersection is (6, 36).