Question

What are the points of intersection of y=abs(x^2-4) and y=(x^2/2)+4

Answer 1

I hope you feel the shame that I feel radiating from this question. It pains me to ask an algebra question T_T

Answer 2

\(|x^2 - 4| = \dfrac{x^2}{2} + 4\)

\(x^2 - 4 = \dfrac{x^2}{2} + 4\) or \(-(x^2 - 4) = \dfrac{x^2}{2} + 4\)

Solve for x. Then plug in the x values to find the y values.

Answer 3

Oh right. Thanks!

Answer 4

Refer to the attached Mathematica 9 plot.