Quadratic Formula

Front

What is the Quadratic Formula?

Back

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

Front

Identify the values of a, b, and c in the equation: 2x² + 4x - 6 = 0.

Back

a = 2, b = 4, c = -6.

Front

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

Back

The 'c' value represents the constant term in the quadratic equation ax² + bx + c = 0.

Front

How do you determine if a quadratic equation has real solutions?

Back

A quadratic equation has real solutions if the discriminant (b² - 4ac) is greater than or equal to zero.

Front

Solve using the quadratic formula: x² - 4x + 4 = 0.

Back

x = 2 (double root).

Front

Identify a, b, and c for the quadratic equation: 3x² + 2x + 1 = 0.

Back

a = 3, b = 2, c = 1.

Front

What is the discriminant in the quadratic formula?

Back

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

Front

Solve using the quadratic formula: 5x² + 6x - 7 = 0.

Back

x = 1, x = -7/5.

Front

What does it mean if the discriminant is negative?

Back

If the discriminant is negative, the quadratic equation has no real solutions (the solutions are complex).

Front

Identify the values of a, b, and c in the equation: -x² + 3x - 2 = 0.

Back

a = -1, b = 3, c = -2.