i swear, i'm not having you do my homework.

give two numbers A and B such that A:B::B:2A
or prove that no such pair can exist.

when put in a fraction form, does it have to be defined?
if not, then they're both zero

Originally posted by fearlessleader
give two numbers A and B such that A:B::B:2A
or prove that no such pair can exist.

Originally posted by opsoccergurl11
when put in a fraction form, does it have to be defined?
if not, then they're both zero

Originally posted by Acolyte
B = sqrt(2)*A

My answer was how you derive the solution, wich is even more important then the solution itself. And if you look closely i replied to soccergurl, who claimed both A and B to be zero.

im probably wrong, right? after i posted, i looked back and realized that i didnt understand what it was really asking

*nods*

My post is the problem restated into an equation, you can solve it to obtain what Acolyte posted 🙂

A/B = B/2A

2AA = BB

+/- sqrt(2)A = B

Acolyte didn't give the negative solution for some reason...