The discriminant and the number of solutions

Use b^2 - 4ac to tell whether a quadratic has two, one, or no real solutions.

Standards:A-REI.B.4.b

Try it: three questions

Real questions from the practice bank. Tap an answer to check it.

Question 1 of 3

How many real solutions does the quadratic equation x² + 6x + 9 = 0 have?

Question 2 of 3

How many real solutions does the equation x² + 6x + 9 = 0 have?

Question 3 of 3

How many real solutions does the quadratic equation 2x² − 5x + 3 = 0 have?

How this fits in

The discriminant and the number of solutions is one skill in the Quadratic Equations unit. Students read the unit lesson, then earn a bronze, silver, or gold medal on their last 10 answers. Medals never go down. A mastered unit comes back for review after 1, 3, 7, 16, and 35 days so it stays learned.

Practice the discriminant and the number of solutions until it sticks

Unlimited fresh questions, hands-on problem types, a tutor while you work, and a review schedule that keeps it learned. Free, no credit card.

Start practicing free