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Simultaneous Equations (Posted on 2003-09-25) Difficulty: 3 of 5
No one can argue with the following equation:

√10 - 3 = √10 - 3

Add three lines to the right-hand side of the equation so that both sides are still equal.

See The Solution Submitted by DJ    
Rating: 3.0000 (15 votes)

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Along the Same Lines | Comment 16 of 19 |
We could also rewrite "√10" as "√10" divided by: "1" raised to the power "1", or rewrite "3" as "3" divided by: "1" raised to the power "1", or reqrite the entire "√10 - 3" as "√10 - 3" divided by: "1" raised to the power "1". So that's three more solutions.

Another three:

|√10 - 3|, all raised to the power 1
(again, I don't know how to do superscripting, but hopefully you get the idea.)
|√10| minus: 3 raised to the power 1,
√10 minus: |3| raised to the power 1, etc.

There are lots of possibilities along these lines.

Also, you could just raise one of the bits of the expression to the power 1 by using the numeral 1 and the carat symbol ^.

Combining these ideas gives lots of possibilities.
  Posted by RoyCook on 2003-10-07 11:03:47

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