Quadratic Formula

Front

What is the first step in solving quadratic equations?

Back

Write the equation in standard form.

Front

What are the solutions of a quadratic equation also called?

Back

Roots, x-intercepts, or zeros.

Front

What does it mean if the discriminant is zero?

Back

There is one solution to the quadratic equation.

Front

Why do we set quadratic equations equal to zero?

Back

To find the x-intercepts, which occur when y=0.

Front

What does a negative discriminant indicate?

Back

There are no real solutions to the quadratic equation.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What does the term 'discriminant' refer to in a quadratic equation?

Back

The expression b² - 4ac, which determines the nature of the roots.

Front

What is the significance of the roots of a quadratic equation?

Back

They represent the x-values where the graph intersects the x-axis.

Front

How can you determine if a quadratic equation has two distinct real solutions?

Back

If the discriminant (b² - 4ac) is positive.

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c = 0, where a, b, and c are constants.