Square the Number

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?




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Given below is simple addition with a defined pattern pattern:
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8 + 8 = 4
8 + 5 = 1
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Can you analyze the pattern and find out the answer for:

4 + 9 = ?

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There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.