Exercise 8.1: Quadratic Equations

Vocabulary terms and definitions covering quadratic equations, their solution methods, and roots based on Exercise 8.1.

Quadratic equation

A second-degree algebraic equation, represented in Exercise 8.1 by equations such as $x^2 + 5x + 6 = 0$ and $3x^2 + bx - 8 = 0$.

Factorization method

A technique required in Exercise 8.1 to solve equations such as $x^2 + 5x + 6 = 0$, $6x^2 - x - 1 = 0$, and $x^2 - 2x = 0$.

Completing the square method

An algebraic solving technique required in Exercise 8.1 for equations including $x^2 + 6x + 1 = 0$ and $2(x^2 - 3) - 3x = 2(x + 3)$.

Root

A value of the variable that satisfies a given equation, exemplified by the value $2$ as a root of $3x^2 + bx - 8 = 0$.