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 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:

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