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Answer:

17/4 or 4 1/4

Step-by-step explanation:

Substitute x = 2 into the expression x² + 1/x².

  • (2)² + 1/(2)²

Evaluate the exponents in the expression.

  • (4) + 1/(4)
  • 4 + 1/4

Multiply 4 by 4/4 to get a common denominator of 4.

  • 16/4 + 1/4

Add the numerators together.

  • 17/4

The value of x² + 1/x² if x = 2 is 17/4, or 4 1/4.

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