perplexus.info :: Just Math : Absolute Value And Real Constant

Absolute Value And Real Constant (Posted on 2008-10-17)

Determine all possible value(s) of a real constant C such that the following system of equations has precisely one real solution in (X, Y).

2^|X| + |X| = Y + X² + C

and, X² + Y² = 1

Note: |X| denotes the absolute value of X.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

C=0 is the only value that gives a single solution for (X, Y).

For an explanation, refer to the respective solutions submitted by Daniel and Charlie in these locations.

(i) http://perplexus.info/show.php?pid=6213&cid=41689.

(ii) http://perplexus.info/show.php?pid=6213&cid=41691.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
No Subject	K Sengupta	2022-10-24 22:13:59
re: Reader	Eshley Durst	2020-10-30 08:03:45
Reader	Eva Huff	2020-06-15 02:18:27
solution	Charlie	2008-10-17 15:10:31
solution	Paul	2008-10-17 15:05:55
solution	Daniel	2008-10-17 13:45:18

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