Find the exact solutions of x^2 - (y - 6)^2 = 36 and y = -x^2.
(0,0), (6,6), and (-6,6)?
Hmmm.
y = -x^2 so
x^2 - (-x^2-6)^2 = 36
x^2 - x^4 - 12x^2 - 36 = 36
x^4 + 11x^2 + 72 = 0
I don't see any real solutions. 11^2-4*72 < 0
Thanks
And yet, I do see that your points work.
Hmmm.
No, they don't they fit the first equation, but not the 2nd.
Only (0,0) works in both
Nope. (0,0) does not work in the 1st.
0 - 36 ≠ 36
Can't believe I let you fool me! :-)
At this point, I'm fooling myself!:-)
(0-6)^2=36
(-6)^2=36
36=36