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 rewrite the quadratic equation in the standard form \( ax^2 + bx + c = 0 \), we need to move all terms to one side of the equation.

Starting with the given equation:

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

we can subtract 4 from both sides:

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

Now, the equation is in the standard form \( ax^2 + bx + c = 0 \) where:

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

Thus, the values are:

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