The Discriminant of a Quadratic Equation - Concept

Concept Concept (1)

The discriminant is part of the quadratic formula which lies underneath the square root. The quadratic equation discriminant is important because it tells us the number and type of solutions. This information is helpful because it serves as a double check when solving quadratic equations by any of the four methods (factoring, completing the square, using square roots, and using the quadratic formula).

Sample Sample Problems (3)

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The Discriminant of a Quadratic Equation - Problem 1

Find the number and type of solution(s) to

5x² − 4x − 3 = 0
Problem 1
How to use the discriminant to identify a quadratic with two irrational solutions.
The Discriminant of a Quadratic Equation - Problem 2

Find the number and type of solution(s) to

6x² + 10x + 4 = 0
Problem 2
How to use the discriminant to identify a quadratic with two rational solutions.
The Discriminant of a Quadratic Equation - Problem 3

Find 'k' so that 9x² + kx + 4 = 0 has 1 solution.

Problem 3
How to use the discriminant to solve for a coefficient in a quadratic equation given a specific number and types of solution.