Posted by Lily on .
Find the exact solutions of x^2  (y  6)^2 = 36 and y = x^2.
(0,0), (6,6), and (6,6)?

Algebra 2 
Steve,
Hmmm.
y = x^2 so
x^2  (x^26)^2 = 36
x^2  x^4  12x^2  36 = 36
x^4 + 11x^2 + 72 = 0
I don't see any real solutions. 11^24*72 < 0 
Algebra 2 
Lily,
Thanks

Algebra 2 
Steve,
And yet, I do see that your points work.
Hmmm. 
Algebra 2 
Steve,
No, they don't they fit the first equation, but not the 2nd.
Only (0,0) works in both 
Algebra 2 
Steve,
Nope. (0,0) does not work in the 1st.
0  36 ≠ 36
Can't believe I let you fool me! :) 
Algebra 2 
Lily,
At this point, I'm fooling myself!:)