To find the value of the discriminant for the quadratic equation \( g^2 - 4g = -4 \), we first need to rewrite it in standard form.
Start by moving all terms to one side of the equation:
\[ g^2 - 4g + 4 = 0 \]
Now, we can identify the coefficients \( a \), \( b \), and \( c \) from the standard form \( ax^2 + bx + c = 0 \):
- \( a = 1 \)
- \( b = -4 \)
- \( c = 4 \)
The discriminant, \( D \), is given by the formula:
\[ D = b^2 - 4ac \]
Substituting the values of \( a \), \( b \), and \( c \):
\[ D = (-4)^2 - 4 \cdot 1 \cdot 4 \] \[ D = 16 - 16 \] \[ D = 0 \]
Thus, the value of the discriminant is 0.