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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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Topic review (newest first)

bobbym
2012-09-22 17:20:21

Okay, I just thought you might want to see something else.

Agnishom
2012-09-22 14:16:19

I think #2 was better hmm
It doesn't look very tedious except that I was a little bit confused then

bobbym
2012-09-21 23:04:21

Hi;

The method depends on inspection and some knowledge of common squares. I am only offering it as a sometime faster alternative. In most cases you should use and learn the method used in post #2.

Let b be what you have to add.

You are looking for a b in



that makes a square. So start with





You have 2 equations which say what b must be added to b + 56 and b + 200 that give you two squares. Well the next square after 56 is 64 so b = 8 is a possibility but 200 + 8 is not a square.

Then next square is 81 which means in b + 56 = 81 b would be 25. Plugging in b into the second equation 25 + 200 = 225 which is a square too. You are done, b = 25.

Agnishom
2012-09-21 22:57:49

Really? Whazzit?

bobbym
2012-09-20 17:01:39

Hi Agnishom;

There is another way which does not require any of the heavy machinery.

Agnishom
2012-09-20 15:01:09

Thanks!

Au101
2012-09-20 03:30:31

Hi smile

Agnishom
2012-09-20 02:14:07

Yeah!
I coudn't pay enough concentration.
sad
Sometimes it happens

Agnishom
2012-09-20 01:44:13

Please expain why you get

Sylvia104
2012-09-19 23:22:18

Let
.

Expanding,
.

Comparing coefficients gives
.

Hence you must add
:

Agnishom
2012-09-19 21:57:47

What must be added to the following expression to make it a perfect square?

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