2-6 The Discriminant

Front

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

Back

The equation has two real solutions.

Front

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

Back

-7

Front

If a function has a discriminant of -3, how many times will its graph cross the x-axis?

Back

0 times.

Front

For the function y = x² + 4x + 4, what is the nature of its discriminant?

Back

Zero.

Front

In the quadratic equation y = x² + 5x + 7, identify the leading coefficient (a).

Back

1.

Front

In the quadratic equation y = x² + 5x + 7, identify the coefficient of x (b).

Back

5.

Front

In the quadratic equation y = x² + 5x + 7, identify the constant term (c).

Back

7.

Front

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

Back

The equation has no real solutions.

Front

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

Back

The equation has one real solution (a double root).

Front

How do you calculate the discriminant of a quadratic equation in the form ax² + bx + c?

Back

The discriminant is calculated as b² - 4ac.