To rewrite the equation in the standard form of a quadratic equation, \( ax^2 + bx + c = 0 \), we start with the given equation:
\[ x^2 - 7x = 4 \]
We can move 4 to the left side of the equation:
\[ x^2 - 7x - 4 = 0 \]
Now, we can identify the values of \( a \), \( b \), and \( c \):
- \( a = 1 \) (the coefficient of \( x^2 \))
- \( b = -7 \) (the coefficient of \( x \))
- \( c = -4 \) (the constant term)
Thus, the values are:
- \( a = 1 \)
- \( b = -7 \)
- \( c = -4 \)