Things get tricky here

Algebra Level pending
  • \(n\) and \(a\) are different real integers, where \(n≥0\) and \(a≥0\). Which of the following equations have the most real pair of integral solutions \((a,n)\) for any positive integer \(a\)?

  • 1.\( \sqrt n - \sqrt{a-n} = a \).

  • 2.\( \sqrt n - \sqrt{n-a} = a \)
  • 3.\( \sqrt n + \sqrt{a-n} = a \)
  • 4.\( \sqrt n + \sqrt{n-a} = a \)

  • Type your answer (1,2,3,or 4) and try not to use luck to finish this question lol.

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