Question

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Part 1
Evaluate the expression when aequals=44​, bequals=66​, and cequals=22.
b squared minus 4 acb2−4ac

Answer 1

To evaluate the expression \( b^2 - 4ac \) given \( a = 44 \), \( b = 66 \), and \( c = 22 \), we can follow these steps:

1. Calculate \( b^2 \):
\[
b^2 = 66^2 = 4356
\]

2. Calculate \( 4ac \):
\[
4ac = 4 \times 44 \times 22
\]
First, calculate \( 4 \times 44 = 176 \).
Then, multiply \( 176 \times 22 = 3872 \).

3. Substitute \( b^2 \) and \( 4ac \) into the expression:
\[
b^2 - 4ac = 4356 - 3872
\]

4. Perform the subtraction:
\[
4356 - 3872 = 484
\]

Thus, the value of the expression \( b^2 - 4ac \) is \( \boxed{484} \).