Question

what is the discriminant for
$3x^2 + 10x + 2 = 0$ ?
enter only the numerical answer.

Explanation:

Step1: Recall discriminant formula

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

Step2: Identify coefficients

In \(3x^2 + 10x + 2 = 0\), \(a = 3\), \(b = 10\), \(c = 2\).

Step3: Calculate discriminant

\(D = 10^2 - 4\times3\times2 = 100 - 24 = 76\).

Answer:

76