perplexus.info :: Just Math : Sum and Square Root Sum

Sum and Square Root Sum (Posted on 2010-09-25)

Determine all possible pair(s) (x,y) of real numbers that satisfy this set of equations:

x+y = 23, and:

√(x² + 12*y) + √(y² + 12*x) = 33

*** For an extra challenge, solve this puzzle without the aid of an online equation solver or a computer program.

Submitted by K Sengupta

Rating: 4.6667 (3 votes)

Solution: (Hide)

(x,y) = (10,13) and (13,10) are the required solutions to the given system of equations.
For an explanation, refer to the solution submitted by Brian Smith in this location.

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

Subject	Author	Date
No Subject	Brian Smith	2016-02-18 12:26:11
The solution	Math Man	2011-01-16 23:06:45
analytical solution	Daniel	2010-09-25 13:36:26

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