Sure! To evaluate an equation for specific values of \( x \), you simply substitute those values into the equation as they are and then calculate step by step. However, you didn't specify which equation you would like to evaluate.
Let's say we have an example equation:
\[ f(x) = 3x^2 + 2x - 5 \]
Now we will evaluate this equation for \( x = 2 \) and \( x = 5 \), following your instructions to plug in the values first and then evaluate.
Step 1: Evaluate for \( x = 2 \)
Plug \( x = 2 \) into the equation:
\[ f(2) = 3(2)^2 + 2(2) - 5 \]
Now we can evaluate step by step:
- Calculate \( (2)^2 = 4 \), so we have \( 3 \cdot 4 = 12 \).
- Calculate \( 2(2) = 4 \).
- Now replace these values back into the equation:
\[ f(2) = 12 + 4 - 5 \]
- Now add and subtract:
\[ f(2) = 16 - 5 = 11 \]
So, \( f(2) = 11 \).
Step 2: Evaluate for \( x = 5 \)
Now plug \( x = 5 \) into the same equation:
\[ f(5) = 3(5)^2 + 2(5) - 5 \]
Now evaluate step by step:
- Calculate \( (5)^2 = 25 \), so we have \( 3 \cdot 25 = 75 \).
- Calculate \( 2(5) = 10 \).
- Replace these values back into the equation:
\[ f(5) = 75 + 10 - 5 \]
- Now add and subtract:
\[ f(5) = 85 - 5 = 80 \]
So, \( f(5) = 80 \).
Final Results:
- \( f(2) = 11 \)
- \( f(5) = 80 \)
If you have a different equation in mind, please let me know, and I can help with that!
2 answers