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# Given the trinomial 3x^{2} - 6x + 5, what is the value of the discriminant?

-66, -24, 8, 96

**Solution:**

Given: Trinomial is 3x^{2} - 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 = b^{2} - 4ac

General form of quadratic equation is ax^{2} + 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 3x^{2} - 6x + 5, what is the value of the discriminant?

**Summary:**

The value of the discriminant for the given trinomial 3x^{2} - 6x + 5 is -24.

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