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

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

Back

x = 1.19 and x = -1.69

Tags

CCSS.HSA-REI.B.4B

Front

Solve using the Quadratic Formula: x² + 4x + 3 = 0

Back

x = -1 and x = -3

Tags

CCSS.HSA-REI.B.4B

Front

Identify a, b, and c in the equation: 4x² - 8x = 3

Back

a = 4, b = -8, c = -3

Front

Solve using the Quadratic Formula: 2x² - x - 3 = 0

Back

x = 3/2 and x = -1

Tags

CCSS.HSA-REI.B.4B

Front

What does the discriminant (b² - 4ac) tell us?

Back

The discriminant indicates the nature of the roots of the quadratic equation: if > 0, two distinct real roots; if = 0, one real root; if < 0, no real roots.

Tags

CCSS.HSA-REI.B.4B

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0, where a ≠ 0.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation. It can be found using the formula (-b/(2a), f(-b/(2a))).

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.