Identify the a, b, and c values that should be substituted into the quadratic formula for the equation 2w

Question

2
+18w=−38.

a=1, b=−18, c=−38

a=2, b=18, c=−38

a=−38, b=2, c=18

a=2, b=18, c=38

Answer 1

To identify the values of \( a \), \( b \), and \( c \) in the quadratic equation based on the given equation \( 2w^2 + 18w = -38 \), we first need to rearrange it into the standard form \( ax^2 + bx + c = 0 \).

Starting with the original equation:

\[ 2w^2 + 18w + 38 = 0 \]

Here, we can see that:

• \( a = 2 \) (the coefficient of \( w^2 \)),
• \( b = 18 \) (the coefficient of \( w \)),
• \( c = 38 \) (the constant term).

Thus, the correct values are:

• \( a = 2 \)
• \( b = 18 \)
• \( c = 38 \)

So the correct option is:

a=2, b=18, c=38.