Fractional Equation!

Algebra Level 5

Find the number of solutions to

\( \langle x^2 \rangle = \langle x \rangle \) in the range \( [1, 7] \).

Here, \( \langle n \rangle \) denotes the fractional part of \(x\): \( \langle 3.4 \rangle = 0.4 \)

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