Quadratic Formula

Front

What is the Quadratic Formula?

Back

The Quadratic Formula is used to find the solutions (roots) of a quadratic equation in the form ax² + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

Identify the 'c' value in the equation y = 16x² - 8x - 24.

Back

-24

Front

What does the 'a' value represent in a quadratic equation?

Back

The 'a' value represents the coefficient of x² and determines the direction of the parabola (upward if a > 0, downward if a < 0).

Front

Use the quadratic formula to solve 2x² + 2x - 12. What are the solutions?

Back

2, -3

Front

If a = 1, b = 10, c = 21, what are the values of x using the quadratic formula?

Back

-3 & -7

Front

If a = 1, b = -5, c = -14, find the values of x using the quadratic formula.

Back

x = 7 & -2

Front

If a = 1, b = 2, c = -3, what are the solutions for x?

Back

1 & -3

Front

What is the discriminant in the quadratic formula?

Back

The discriminant is the part of the quadratic formula under the square root, given by b² - 4ac. It determines the nature of the roots.

Front

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

Back

A positive discriminant indicates that there are two distinct real roots.

Front

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

Back

A zero discriminant indicates that there is exactly one real root (a repeated root).