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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Below, you will find the mathematical proof that 10 equals 9.99999?. But is that possible or there is something wrong about it? Can you find the error?

x = 9.999999...
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No Solution

In 2007, a puzzle was released and $2 million prizes were offered for the first complete solution. The competition ended at noon on 31 December 2010, with no solution being found. Wiki