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# What is the discriminant of the quadratic equation 2x^{2} + 3x - 5 = 0?

-37, -31, 43, 49

**Solution:**

The standard form of a quadratic equation is ax^{2} + bx + c = 0

Given:

Quadratic equation is 2x^{2} + 3x - 5 = 0

We have to find the value of the discriminant for the quadratic equation. For a quadratic equation of the form ax^{2 }+ bx + c = 0, the expression b^{2} - 4ac is called the discriminant, (denoted by Δ), of the quadratic equation. This discriminant describes the nature of the roots.

Discriminant, Δ = b^{2} - 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 2x^{2} + 3x - 5 = 0?

**Summary:**

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

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