Question

find the discriminant.
q² + 2q + 1 = 0

Explanation:

Step1: Recall discriminant formula

For a quadratic equation \(ax^{2}+bx + c = 0\), the discriminant \(D=b^{2}-4ac\).

Step2: Identify \(a\), \(b\), \(c\)

In the equation \(q^{2}+2q + 1 = 0\), we have \(a = 1\), \(b = 2\), \(c = 1\).

Step3: Substitute into formula

Substitute \(a = 1\), \(b = 2\), \(c = 1\) into \(D=b^{2}-4ac\):
\(D=(2)^{2}-4\times1\times1\)
\(D = 4 - 4\)
\(D=0\)

Answer:

\(0\)