Question

find the discriminant.
3y² + 6y + 3 = 0

Explanation:

Step1: Recall discriminant formula

For a quadratic equation \( ay^2 + by + c = 0 \), the discriminant \( D \) is given by \( D = b^2 - 4ac \).

Step2: Identify coefficients

In the equation \( 3y^2 + 6y + 3 = 0 \), we have \( a = 3 \), \( b = 6 \), and \( c = 3 \).

Step3: Substitute into formula

Substitute \( a = 3 \), \( b = 6 \), and \( c = 3 \) into the discriminant formula:
\( D = 6^2 - 4 \times 3 \times 3 \)
\( D = 36 - 36 \)
\( D = 0 \)

Answer:

\( 0 \)