203,420 views
11 votes
11 votes
If x=2,find the value of x²+1/x²​

User Astrit Veliu
by
2.9k points

1 Answer

19 votes
19 votes

Answer:

17/4 or 4 1/4

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.

User Ben Delaney
by
2.5k points