Discriminant & Types of Solutions

Use the discriminant to determine the number and type of solutions:

6x² - 9x + 9 = 0

• No real solutions

• One real solution

• Two real, rational solutions

• Two real, irrational solutions

Use the discriminant to determine the number and type of solutions:

-5x² + 3x + 5 = 0

• No real solutions

• One real solution

• Two real, rational solutions

• Two real, irrational solutions

Use the discriminant to determine the number and type of solutions:

-x² + 6x - 9 = 0

• No real solutions

• One real solution

• Two real, rational solutions

• Two real, irrational solutions

Use the discriminant to determine the number and type of solutions:

4x² - 5x + 3 = 0

• No real solutions

• One real solution

• Two real, rational solutions

• Two real, irrational solutions

Use the discriminant to determine the number and type of solutions:

7x² + 5x = 0

• No real solutions

• One real solution

• Two real, rational solutions

• Two real, irrational solutions

Use the discriminant to determine the number and type of solutions:

-9x² + 10x - 1 = 0

• No real solutions

• One real solution

• Two real, rational solutions

• Two real, irrational solutions

Use the discriminant to determine the number and type of solutions:

7x² - 5x + 7 = 0

• No real solutions

• One real solution

• Two real, rational solutions

• Two real, irrational solutions

Use the discriminant to determine the number and type of solutions:

5x² - 9 = 0

• No real solutions

• One real solution

• Two real, rational solutions

• Two real, irrational solutions

Use the discriminant to determine the number and type of solutions:

-9x² - 4 = 0

• No real solutions

• One real solution

• Two real, rational solutions

• Two real, irrational solutions

Use the discriminant to determine the number and type of solutions:

9x² - 6x + 1 = 0

• No real solutions

• One real solution

• Two real, rational solutions

• Two real, irrational solutions