Easy challenge for (nearly) all levels of math.
\[x+1=~~PERFECT~~SQUARE\]\[2x+1=~~PERFECT~~SQUARE\] \[x=?\]
Message the answer, if you know it.
After all, all the answers were given but no one said all of them.\[-1,~~~~0,~~~~~~24\]
@SolomonZelman -1 will no be valid
\[-1+1=PERFECT~~~SQUARE\]
0 is not a perfect square
\[0^2=0\]
The issue goes to the history of the term 'square'. A number N is a square if you can arrange N objects into a square shape: 1: @ 4: @ @ @ @ 9: @ @ @ @ @ @ @ @ @ Now, can you arrange zero objects into a square shape? Some people have no trouble with that concept. Others find it absurd. The former tend to be the kinds of people who, like Lewis Carroll, enjoy saying things like 'All my sisters live in Antarctica', which is true (in mathematical logic) for anyone who has no sisters. There are people who like to play with math, and see where it takes them; and there are people who know where they want to go, and see math as a vehicle for getting them there. I think you can guess which ones think of zero as a perfect square. still at some places zero is considerd perfect square and in others its not
yes I can, watch 0: . there
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