SaiBook.us Algebra

Lesson Example Discussion Quiz: Class Homework

Lesson

Title: Find the real solutions of the polynomials

Grade: 9-a Lesson: S1-L8

Explanation: Hello students, let us learn a new topic in algebra today with definitions, concepts, examples, and worksheets included.

Lesson:

Definition: Quadratic equation

Quadratic equations are second-degree algebraic expressions and are of the form \$ax^2 + bx + c = 0\$.

$1$

Explanation: A quadratic equation is an algebraic equation of the second degree in x, standard form is \$ax^2 + bx + c = 0\$, where a and b are the coefficients, x is the variable, and c is the constant term.

Example: \$36n^2 + 24n + 16 = 0\$

Definition: Roots of a quadratic equation

The two values of x, which are obtained by solving the quadratic equation.

$2$

Explanation: The roots of a quadratic equation are the two values of x, which are obtained by solving the quadratic equation.
Here roots of the quadratic equation are also called the zeros of the equation.