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Algebra Difficulty 1.9 Junior Find the answer

If n+9=25\sqrt{n+9}=25, what is the value of nn?

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Since n+9=25\sqrt{n+9}=25, then n+9=252=625n+9=25^{2}=625. Thus, n=6259=616n=625-9=616.

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