1=(2A)/(1+A) Solve for A

spacejunkie

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Joined
Sep 1, 2006
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15
I'm working on Logistic Growth Initial Value Problems in my Calculus class. There is an algebra step that I'm having trouble with.

1=(2A)/(1+A) Solve for A

Here's what I'm getting so far,

A=2/(1+A)
A(1+A)=2
Trial and error says A=1

Is there an algebraic way to solve this problem without resorting to trial and error? I know this one is a no brainier but I'd like a more definite method in case I come across some more complex problems in the future.
 

skeeter

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Dec 15, 2005
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2,396
here's a BIG hint for you ...

if 1 = (something)/(something else), then (something) = (something else)
 

Denis

Senior Member
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Feb 17, 2004
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1,442
spacejunkie said:
1=(2A)/(1+A) Solve for A
To "see" what Sir Skeeter means:

1 / 1 = 2A / (1 + A)

crisscross multiply:
2A = 1 + A
 

spacejunkie

New member
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Sep 1, 2006
Messages
15
Thank you both.

It’s almost embarrassing the stuff I blank on.

I really appreciate the help.
 
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