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

x^2 - 7x = 4

1 answer

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:

  • \( a = 1 \)
  • \( b = -7 \)
  • \( c = -4 \)