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Evaluate the expression 
(7^(2))/(x^(2)-2) for 
x=3.

Evaluate the expression 72x22 \frac{7^{2}}{x^{2}-2} for x=3 x=3 .

Full solution

Q. Evaluate the expression 72x22 \frac{7^{2}}{x^{2}-2} for x=3 x=3 .
  1. Substitute value of x: First, substitute the value of xx into the expression. Replace xx with 33 in the expression 72x22\frac{7^{2}}{x^{2}-2} to get 72322\frac{7^{2}}{3^{2}-2}.
  2. Calculate numerator exponent: Calculate the exponent in the numerator. The value of 727^{2} is 4949.
  3. Calculate denominator exponent: Calculate the exponent in the denominator and then subtract 22. The value of 323^{2} is 99, so 929 - 2 equals 77.
  4. Divide numerator by denominator: Now, divide the numerator by the denominator. Divide 4949 by 77 to get the final value of the expression.
  5. Final value of the expression: The final value of the expression is 497\frac{49}{7}, which equals 77.

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