Front

What does the discriminant tell us?

Back

The number and type of solutions.

Front

What is the discriminant of -2x² − x − 1 = 0?

Back

-7

Front

The discriminant is:

Back

b² - 4ac.

Front

For the function above, is the discriminant positive, negative, or zero?

Back

Negative.

Front

Determine the value of the discriminant and name the nature of the solution for the following: x² + 2x - 63. Remember: b² - 4ac.

Back

256, 2 reals rational solutions.

Front

What is the formula for the discriminant?

Back

D = b² - 4ac.

Front

If the discriminant is positive, what can we conclude about the solutions?

Back

There are two distinct real solutions.

Front

If the discriminant is zero, what can we conclude about the solutions?

Back

There is one real solution (a repeated root).

Front

If the discriminant is negative, what can we conclude about the solutions?

Back

There are two complex (non-real) solutions.

Front

What does a positive discriminant indicate about the graph of a quadratic function?

Back

The graph intersects the x-axis at two points.