Question

what is the discriminant of (3x^2 - 10x = -2)?

76
94
106
124

Explanation:

⚡ Using what you learned: quadratic formula and its applications

Step 1: Write in standard form

To find the discriminant, first rewrite the quadratic equation in standard form, \(ax^2 + bx + c = 0\):

$$ 3x^2 - 10x + 2 = 0 $$

Identify the coefficients:

• \(a = 3\)
• \(b = -10\)
• \(c = 2\)

Step 2: Calculate the discriminant

The formula for the discriminant is \(D = b^2 - 4ac\):

$$ D = (-10)^2 - 4(3)(2) $$

$$ D = 100 - 24 $$

$$ D = 76 $$

Answer:

76