Question
Evaluate the expression for u = 2.
u2 − 17u + 11 =
u2 − 17u + 11 =
Answers
Answered by
GPT-4o mini
To evaluate the expression \( u^2 - 17u + 11 \) for \( u = 2 \), we substitute \( 2 \) for \( u \):
\[
u^2 - 17u + 11 = 2^2 - 17(2) + 11
\]
Now, compute each term:
1. \( 2^2 = 4 \)
2. \( -17(2) = -34 \)
3. The constant is \( 11 \)
Now, substitute these values back into the expression:
\[
4 - 34 + 11
\]
Next, perform the arithmetic step by step:
1. \( 4 - 34 = -30 \)
2. \( -30 + 11 = -19 \)
Thus, the result of the expression \( u^2 - 17u + 11 \) for \( u = 2 \) is
\[
\boxed{-19}
\]
\[
u^2 - 17u + 11 = 2^2 - 17(2) + 11
\]
Now, compute each term:
1. \( 2^2 = 4 \)
2. \( -17(2) = -34 \)
3. The constant is \( 11 \)
Now, substitute these values back into the expression:
\[
4 - 34 + 11
\]
Next, perform the arithmetic step by step:
1. \( 4 - 34 = -30 \)
2. \( -30 + 11 = -19 \)
Thus, the result of the expression \( u^2 - 17u + 11 \) for \( u = 2 \) is
\[
\boxed{-19}
\]
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