Given the trinomial 3x² - 6x + 5, what is the value of the discriminant? 
-66, -24, 8, 96

Solution:

Given: Trinomial is 3x² - 6x + 5

The discriminant value of a quadratic equation is the expression that is present inside the radical of the quadratic formula. It determines the nature of the roots of the quadratic equation.

Δ = b² - 4ac

General form of quadratic equation is ax² + bx + c.

By comparing coefficients, we get

a = 3, b = -6, c = 5

Substituting these values

Δ = (-6)² - 4 × 3 × 5

= 36 - 60

= -24

Therefore, the value of the discriminant is -24.

Given the trinomial 3x² - 6x + 5, what is the value of the discriminant? 

Summary:

The value of the discriminant for the given trinomial 3x² - 6x + 5 is -24.