Question

what is the discriminant for
3x² + 10x + 2 = 0 ?

enter only the numerical answer.

Explanation:

Step1: Recall discriminant formula

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

Step2: Identify coefficients

In the equation \(3x^{2}+10x + 2 = 0\), we have \(a = 3\), \(b = 10\), and \(c = 2\).

Step3: Substitute values into formula

Substitute \(a = 3\), \(b = 10\), and \(c = 2\) into \(D=b^{2}-4ac\):
\(D=(10)^{2}-4\times3\times2\)
\(= 100-24\)
\(= 76\)

Answer:

76