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Find the value of this expression if [tex]$x=5$[/tex].

[tex]\frac{x^2+7}{x-7}[/tex]

Enter the correct answer.

Sagot :

GinnyAnswer
To solve the expression [tex]\(\frac{x^2 + 7}{x - 7}\)[/tex] when [tex]\(x = 5\)[/tex], follow these steps:

1. Substitute [tex]\(x = 5\)[/tex] into the expression:
[tex]\[ \frac{5^2 + 7}{5 - 7} \][/tex]

2. Calculate the numerator:
[tex]\[ 5^2 + 7 = 25 + 7 = 32 \][/tex]

3. Calculate the denominator:
[tex]\[ 5 - 7 = -2 \][/tex]

4. Divide the numerator by the denominator:
[tex]\[ \frac{32}{-2} = -16 \][/tex]

Therefore, the value of the expression when [tex]\(x = 5\)[/tex] is [tex]\(-16\)[/tex].

Finally, the expression evaluates to [tex]\(\boxed{-16}\)[/tex].
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