Question

Solve each equation. $$ 9 n^{2}=1 $$

Name: Problem 48, Chapter 13: Prealgebra & Introductory Algebra
Uploaded: 2022-04-06T02:49:55-08:00
Duration: 37 s
Channel: Erika Bustos
Description: Solve each equation. 9 n^2=1

   Solve each equation.
$$
9 n^{2}=1
$$

Prealgebra & Introductory Algebra

Julie Miller, Molly… 2nd Edition

Chapter 13, Problem 48

Instant Answer

Solved by Expert Erika Bustos

04/06/2022

Step 1

To do this, we divide both sides of the equation by $9$ to get: $$ n^{2}=\frac{1}{9} $$ Show more…

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Solve each equation. $$ 9 n^{2}=1 $$

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Key Concepts

Square Root Principle

The square root principle is used in solving equations where the variable is squared. When an equation is arranged so that a variable squared equals a constant, taking the square root of both sides provides the solution. It is important to remember that both the positive and negative square roots must be considered, as squaring either results in the original squared value.

Quadratic Equations

A quadratic equation is an equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ? 0. These equations typically have two solutions, and they form the foundation of many topics in algebra, including factoring, completing the square, and applying the quadratic formula.

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