For what values a is the equation (1/a+2)=(1/a)+(1/2) true?

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forpo2016 forpo2016

22-08-2016
Mathematics

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For what values a is the equation (1/a+2)=(1/a)+(1/2) true?

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AL2006 AL2006 · Answer 1 · 2016-08-23T06:44:02+02:00

There is no value of 'a' that makes the equation true.
In other words, the equation has no solution.

Here's how you can tell:

(1/a + 2) = (1/a) + (1/2)

Eliminate parentheses: 1/a + 2 = 1/a + 1/2

Subtract 1/a from
each side: 2 = 1/2

Is there any value of 'a' that can make 2 = 1/2 ?
I can't think of one.
So the equation has no solution.