perplexus.info :: Just Math : x + y * <sup>3</sup>√2 + z * <sup>3</sup>√4 = 0

x + y * ³√2 + z * ³√4 = 0 (Posted on 2009-10-15)

Each of x, y and z is a rational number such that: x + y * ³√2 + z * ³√4 = 0.

Prove that x=y=z=0 is the only possible solution to the above equation.

Submitted by K Sengupta

Rating: 3.0000 (1 votes)

Solution: (Hide)

Refer to the solution submitted by Brian Smith in this location.

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

Subject	Author	Date
re(6): Solution - Extra font facility	Charlie	2009-10-16 12:25:53
re(5): Solution - Extra font facility	Charlie	2009-10-16 12:21:17
re(4): Solution - Extra font facility	Charlie	2009-10-16 12:17:23
re(3): Solution - Extra font facility	Jim Keneipp	2009-10-16 12:08:01
Solution - trying formatting	Brian Smith	2009-10-16 12:04:25
re(2): Solution - Extra font facility	Harry	2009-10-16 10:35:05
re(3): Solution - Extra font facility	brianjn	2009-10-16 02:02:22
re(4): Solution - Extra font facility	Charlie	2009-10-15 22:44:44
re(3): Solution - Extra font facility	Charlie	2009-10-15 22:44:21
re(2): Solution - Extra font facility	Charlie	2009-10-15 22:40:34
re: Solution - Extra font facility	brianjn	2009-10-15 20:11:43
Solution	Harry	2009-10-15 19:55:35
re: Non-rigorous argument	Jer	2009-10-15 14:59:19
Non-rigorous argument	Jim Keneipp	2009-10-15 14:06:26

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