3. Solve the inequality $\sqrt{2 x^{2}-8 x+6}+\sqrt{4 x-x^{2}-3}<x-1$
Note that all solutions to the original inequality exist if the expressions under the square roots are non-negative. These inequalities are simultaneously satisfied only under the condition $x^{2}-4 x+3=0$. This equation has two roots, 1 and 3. Checking shows that the original inequality has a unique solution 3.

Answer: 3.

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