Using the Graphs of Discriminants

Front

What does the discriminant tell us?

Back

The number and type of solutions. (x-intercepts)

Front

If the discriminant is positive, then the solution will be:

Back

two real solutions

Front

What is the discriminant and how many solutions would this quadratic have? x² - 6x + 9 = 0

Back

0, 1 Solution

Front

If the discriminant is equal to 10, how many solutions are there?

Back

2 Real, Irrational Solutions

Front

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

Back

Zero

Front

What is the formula for the discriminant in a quadratic equation ax² + bx + c = 0?

Back

D = b² - 4ac

Front

What does a negative discriminant indicate about the solutions of a quadratic equation?

Back

No real solutions (two complex solutions)

Front

What does a zero discriminant indicate about the solutions of a quadratic equation?

Back

One real solution (a repeated root)

Front

How can you determine the nature of the roots of a quadratic equation using the discriminant?

Back

By evaluating the discriminant: D > 0 (two real solutions), D = 0 (one real solution), D < 0 (no real solutions)

Front

If a quadratic equation has a discriminant of 16, how many solutions does it have?

Back

2 Real, Rational Solutions