Flashcard 3A Warm-Up

Front

Solve (x+3)² - 5 = 9

Back

x = -3 ± √14

Front

Solve (x - 2)(3x + 1) = 0

Back

x = 2 and -1/3

Front

Given the graph of f(x), what are the solutions to the equation f(x) = 0?

Back

x = -2, 1

Front

Solve 4m² - 100 = 0

Back

m = ±5

Front

Solve by completing the square: x² + 12x = 5

Back

x = -6 ± √41

Front

Definition: Completing the Square

Back

A method used to solve quadratic equations by rewriting them in the form (x - p)² = q.

Front

Definition: Quadratic Equation

Back

An equation of the form ax² + bx + c = 0, where a, b, and c are constants.

Front

Definition: Roots of an Equation

Back

The values of x that satisfy the equation, also known as solutions.

Front

Definition: Factoring

Back

A method of solving equations by expressing them as a product of their factors.

Front

Definition: Discriminant

Back

In a quadratic equation ax² + bx + c = 0, the discriminant is b² - 4ac, which determines the nature of the roots.