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1. The number of different integers there are for the condition described in which case, the square of the square of the integer is a two-digit integer as in the task content is 4 possible integers which includes; -2, -3, 2, 3.

   How many integers satisfy the given condition?

   According to the task content, the square of the square of such integers must be a two-digit number, that is, less than or equal to 99.

   The numbers in discuss, x must satisfy;

   x⁴ < 99.

   The numbers in this regard are therefore, -2, -3, 2, 3.

   Ultimately, the integers which satisfy the condition described in which case, the square of the square of the integer is a two-digit integer as in the task content is 4 possible integers which includes; -2, -3, 2, 3.

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