Quadratic Formula

Front

What does the 'b' term represent in the quadratic equation ax² + bx + c = 0?

Back

The 'b' term represents the coefficient of the x term.

Front

Use the quadratic formula to solve for x: 2x² + 2x - 12 = 0

Back

x = 2, x = -3

Front

What does the 'a' term represent in the quadratic equation ax² + bx + c = 0?

Back

The 'a' term represents the coefficient of the x² term.

Front

In the equation x² + 4 = 0, what are the values of a, b, and c?

Back

a=1, b=0, c=4

Front

True or False: The quadratic equation can be used to solve quadratic equations that can or cannot be factored.

Back

True

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What is the discriminant in the quadratic formula?

Back

The discriminant is the part of the formula under the square root: b² - 4ac.

Front

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

Back

It indicates that there are two distinct real roots.

Front

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

Back

It indicates that there is exactly one real root (a repeated root).

Front

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

Back

It indicates that there are no real roots (the roots are complex).