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

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

Back

'a' represents the coefficient of x², which determines the direction and width of the parabola.

Front

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

Back

'b' represents the coefficient of x, which affects the position of the vertex of the parabola.

Front

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

Back

'c' represents the constant term, which is the y-intercept of the quadratic function.

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

What does a positive discriminant indicate?

Back

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

Front

What does a zero discriminant indicate?

Back

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

Front

What does a negative discriminant indicate?

Back

A negative discriminant indicates that there are no real roots, only complex roots.

Front

Solve using the Quadratic Formula: 2x² + 7x - 15 = 0

Back

x = -5 or x = 1.5.

Front

Solve using the Quadratic Formula: 2x² - 8x - 24 = 0

Back

x = 6 or x = -2.