### 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 Problems (4)

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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.

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.

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.
###### Problem 4
Finding imaginary solutions for a quadratic equation by interpreting the discriminant and using the quadratic formula