# Discriminant solutions

This shows that the discriminant gives the correct number of solutions for the equation. f(x) = x2+x−2 f ( x) = x 2 + x − 2 has discriminant of Δ =(1)2 −4(1)(−2) =1+8 = 9 Δ = (

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A discriminant is a function of the coefficients of a polynomial equation that expresses the nature of the roots of the given quadratic equation. The equations can discriminate between the

## Solutions Using the Discriminant

the discriminant is: Δ = b2 − 4ac. The discriminant can be used to characterize the solutions of the equation as: 1) Δ > 0 two separate real solutions; 2) Δ = 0 two coincident real solutions (or

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## How To Determine The Discriminant of a Quadratic Equation

Example 1: Determine the discriminant value and the nature of the roots for the given quadratic equation 3x 2 +2x+5. Solution: Given: The quadratic equation is 3x 2 +2x+5. Here, the

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## Discriminant to Find Number of Solutions

The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation. A positive discriminant indicates that the quadratic has two distinct real number solutions. A

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