Question

what is the discriminant of $3x^2 - 10x = -2$?
○ 76
○ 94
○ 106
○ 124

Explanation:

Step1: Rewrite in standard form

The quadratic equation \(3x^2 - 10x = -2\) can be rewritten in standard form \(ax^2 + bx + c = 0\) by adding 2 to both sides: \(3x^2 - 10x + 2 = 0\). Here, \(a = 3\), \(b = -10\), and \(c = 2\).

Step2: Use discriminant formula

The discriminant \(D\) of a quadratic equation \(ax^2 + bx + c = 0\) is given by the formula \(D = b^2 - 4ac\). Substitute \(a = 3\), \(b = -10\), and \(c = 2\) into the formula:

$$
LATEXBLOCK0
$$

Answer:

76