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What is a? A + 1 / A = 2 And how do I find A?

 Feb 25, 2015

Best Answer 

 #1
avatar+128578 
+5

A + 1/A  = 2    multiply everything by A

A^2 + 1 = 2A   subtract 2A from both sides

A^2 - 2a  + 1  = 0  factor

(A - 1) (A -1)  = 0     setting either one of the factors to 0, and we get that A =1

 

 Feb 25, 2015
 #1
avatar+128578 
+5
Best Answer

A + 1/A  = 2    multiply everything by A

A^2 + 1 = 2A   subtract 2A from both sides

A^2 - 2a  + 1  = 0  factor

(A - 1) (A -1)  = 0     setting either one of the factors to 0, and we get that A =1

 

CPhill Feb 25, 2015

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