Posted by **Lily** on Saturday, May 18, 2013 at 9:18am.

Find the exact solutions of x^2 - (y - 12)^2 = 144 and y = -x^2.

No solution?

- Algebra 2 -
**Steve**, Saturday, May 18, 2013 at 11:51am
second verse, same as the first:

y = -x^2, so

x^2 - (-x^2 - 12)^2 = 144

x^2 - x^4 - 24x^2 - 144 = 144

x^4 + 23x^2 + 288 = 0

again, the discriminant is negative, so there are no solutions.

x=0 works only in the 2nd equation

(±12,12) only works in the first equation

- Algebra 2 -
**Lily**, Saturday, May 18, 2013 at 12:02pm
Thank you!

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