1. Solve the equation $(x+2)^{4}+x^{4}=112$.
# Solution

Let's introduce the substitution $y=x+1, (y+1)^{4}+(y-1)^{4}=82, y^{4}+6 y^{2}-40=0, y^{2}=$ $-10, y^{2}=4, x_{1}=-3, x_{2}=1$.

## Grading Criteria

Only the answer is given - 0 points.

The fourth power is correctly raised in the solution process, but the roots are not found - -1 point.

The fourth power is correctly raised in the solution process and one of the roots is found (by any method: trial and error, factorization, etc.) - 2 points.

All stages of solving the equation are correctly performed and the roots are found - 7 points.