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).

Tags

CCSS.HSA-REI.B.4B

Front

What does 'a' represent in a quadratic equation?

Back

In a quadratic equation ax² + bx + c = 0, 'a' represents the coefficient of x² and determines the direction of the parabola (upward if a > 0, downward if a < 0).

Tags

CCSS.HSF-IF.C.7A

Front

What does 'b' represent in a quadratic equation?

Back

In a quadratic equation ax² + bx + c = 0, 'b' is the coefficient of x and affects the position of the vertex of the parabola along the x-axis.

Front

What does 'c' represent in a quadratic equation?

Back

In a quadratic equation ax² + bx + c = 0, 'c' is the constant term and represents the y-intercept of the parabola.

Tags

CCSS.HSF-IF.C.7A

Front

How do you determine the discriminant of a quadratic equation?

Back

The discriminant is calculated using the formula D = b² - 4ac. It helps determine the nature of the roots of the quadratic equation.

Tags

CCSS.HSA-REI.B.4B

Front

What does a positive discriminant indicate?

Back

A positive discriminant (D > 0) indicates that the quadratic equation has two distinct real roots.

Tags

CCSS.HSA-REI.B.4B

Front

What does a zero discriminant indicate?

Back

A zero discriminant (D = 0) indicates that the quadratic equation has exactly one real root (a repeated root).

Tags

CCSS.HSA-REI.B.4B

Front

What does a negative discriminant indicate?

Back

A negative discriminant (D < 0) indicates that the quadratic equation has no real roots, but two complex roots.

Tags

CCSS.HSA-REI.B.4B

Front

Solve using the Quadratic Formula: 2x² - 4x - 6 = 0

Back

x = 3 and x = -1.

Tags

CCSS.HSA-REI.B.4B

Front

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

Back

x = 2 and x = -4.

Tags

CCSS.HSA-REI.B.4B