# 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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