Question

Find the values of a, b, and c for the quadratic equation below (remember ax^2 + bx + c =0)
x^2 - 7x = 4

Answer 1

To express the given equation \( x^2 - 7x = 4 \) in standard quadratic form \( ax^2 + bx + c = 0 \), we need to rearrange it by subtracting 4 from both sides:

\[
x^2 - 7x - 4 = 0
\]

Now, we can identify the coefficients \( a \), \( b \), and \( c \):

- \( a = 1 \) (the coefficient of \( x^2 \))
- \( b = -7 \) (the coefficient of \( x \))
- \( c = -4 \) (the constant term)

Thus, the values are:
- \( a = 1 \)
- \( b = -7 \)
- \( c = -4 \)