Questions: (x^2-3)+(1/(x-7))

To solve the expression \((x^{2}-3)+\left(\frac{1}{x-7}\right)\), we need to evaluate it for a given value of \(x\). The expression consists of a polynomial part and a rational part. We will substitute a specific value for \(x\) into the expression and compute the result.

Dada la expresión \((x^{2}-3)+\left(\frac{1}{x-7}\right)\), sustituimos \(x = 10\) en la expresión.

Calculamos la parte polinómica: \[ x^{2} - 3 = 10^{2} - 3 = 100 - 3 = 97 \]

Calculamos la parte racional: \[ \frac{1}{x-7} = \frac{1}{10-7} = \frac{1}{3} \approx 0.3333 \]

Sumamos los resultados de las dos partes: \[ 97 + 0.3333 = 97.3333 \]

La evaluación de la expresión para \(x = 10\) es: \[ \boxed{97.3333} \]