Solving Quadratics Review

Front

What is the Discriminant in a quadratic equation?

Back

The Discriminant is a value calculated from the coefficients of a quadratic equation in the form ax² + bx + c. It is given by the formula D = b² - 4ac.

Front

If the Discriminant is = 0, how many real solutions will you have?

Back

1

Front

If the Discriminant is < 0, how many real solutions will you have?

Back

0

Front

If the Discriminant is > 0, how many real solutions will you have?

Back

2

Front

What does a positive Discriminant indicate about the roots of a quadratic equation?

Back

A positive Discriminant indicates that the quadratic equation has two distinct real roots.

Front

What does a negative Discriminant indicate about the roots of a quadratic equation?

Back

A negative Discriminant indicates that the quadratic equation has no real roots, but two complex roots.

Front

What does a Discriminant of zero indicate about the roots of a quadratic equation?

Back

A Discriminant of zero indicates that the quadratic equation has exactly one real root, also known as a repeated or double root.

Front

Solve by using the quadratic formula: 3x² - 11x + 6 = 0

Back

x = 2/3 and x = 3

Front

Calculate the Discriminant for the equation -5x² - 6 = 0.

Back

D = -120

Front

If there are 2 real solutions, which value can be the Discriminant?

Back

13