Find the unknown. 3 x^2+24=0

Name: Problem 22, Chapter 0: Applied Calculus For Business, Economics, and Finance
Uploaded: 2021-02-07T11:30:56-08:00
Duration: 1 min 7 s
Channel: Clarissa Noh
Description: Find the unknown. 3 x^2+24=0

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Key Concepts

Complex Numbers

Complex numbers expand the number system to include solutions to equations that involve the square root of a negative number. Introduced by the imaginary unit i (where i² = -1), complex numbers are crucial for solving equations that do not have real solutions.

Square Root Method

The square root method is a technique used to solve equations where the variable is squared. After isolating the squared term, taking the square root of both sides provides the solutions to the equation, while considering both the positive and negative roots.

Quadratic Equations

Quadratic equations are second-degree polynomial equations typically written in the form ax² + bx + c = 0. They constitute a foundational topic in algebra, and solving them is essential for understanding various complex mathematical concepts and applications.

Algebraic Manipulation

Algebraic manipulation involves the use of inverse operations such as addition, subtraction, multiplication, division, and factorization to rearrange and simplify equations. This process is central to solving equations by isolating the term containing the unknown variable.

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