(1,120),(2,60),(3,40),(4,30),(5,24),(6,20),(8,15),(10,12) are the positive integers. While (-1,-120),(-2,-60),(-3,-40),(-4,-30),(-5,-24),(-6,-20),(-8,-15),(-10,-12) are the negative integer solutions, also (x,120/x) where x is a rational number, also irrational solutions such as (120^1/2,120^1/2), also transcendental numbers such as (Pi, 120/Pi),(e,120/e). also complex numbers, such as (120i, -i).
I suppose the most general answer would be something like (x, 120/x) where x is a complex number a +bi where a and b are real numbers and a+bi <> 0. But this does seem a bot beyond the comprehension of most 5-6 yeat olds.
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baggyeyes
(no subject)
Date: 2009-04-19 03:09 pm (UTC)While (-1,-120),(-2,-60),(-3,-40),(-4,-30),(-5,-24),(-6,-20),(-8,-15),(-10,-12) are the negative integer solutions,
also (x,120/x) where x is a rational number,
also irrational solutions such as (120^1/2,120^1/2),
also transcendental numbers such as (Pi, 120/Pi),(e,120/e).
also complex numbers, such as (120i, -i).
I suppose the most general answer would be something like (x, 120/x) where x is a complex number a +bi where a and b are real numbers and a+bi <> 0. But this does seem a bot beyond the comprehension of most 5-6 yeat olds.