What is the discriminant of the quadratic equation 2x² + 3x - 5 = 0?
-37, -31, 43, 49

Solution:

The standard form of a quadratic equation is ax² + bx + c = 0

Given:

Quadratic equation is 2x² + 3x - 5 = 0

We have to find the value of the discriminant for the quadratic equation. For a quadratic equation of the form ax² + bx + c = 0, the expression b² - 4ac is called the discriminant, (denoted by Δ), of the quadratic equation. This discriminant describes the nature of the roots.

Discriminant, Δ = b² - 4ac

Here, a = 2, b = 3 and c = -5.

Substituting the values,

Δ = 32 - 4 × 2 × -5

By further calculation

Δ = 9 + 40

Δ = 49

Therefore, the discriminant is 49.

What is the discriminant of the quadratic equation 2x² + 3x - 5 = 0?

Summary:

The discriminant of the quadratic equation 2x² + 3x - 5 = 0 is 49.