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

Evaluate the expression 72x2−2 \frac{7^{2}}{x^{2}-2} for x=3 x=3 .\newline□ \square

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Full solution

Q. Evaluate the expression 72x2−2 \frac{7^{2}}{x^{2}-2} for x=3 x=3 .\newline□ \square
  1. Plug in x=3x=3: Plug in x=3x=3 into the expression.7232−2\frac{7^{2}}{3^{2}-2}
  2. Calculate numerator: Calculate the numerator 727^{2}. \newline72=497^{2} = 49
  3. Calculate denominator: Calculate the denominator 32−23^{2}-2. 32=93^{2} = 9, so 9−2=79-2 = 7
  4. Divide numerator by denominator: Divide the numerator by the denominator. 497=7\frac{49}{7} = 7

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