step 1 We want to solve the square of x squared plus 9 equals x. We've already got an isolated radical.

Question

$v^{2}+18=99$

Name: Problem 39, Chapter 9: Elementary Algebra
Uploaded: 2022-02-03T19:18:30-08:00
Duration: 18 s
Channel: James Kiss
Description: v^2+18=99

   $v^{2}+18=99$

Elementary Algebra

Laura Bracken, Ed… 1st Edition

Chapter 9, Problem 39

Instant Answer

Solved by Expert James Kiss

02/03/2022

Step 1

$v^2 + 18 - 18 = 99 - 18$ $v^2 = 81$ Show more…

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$v^{2}+18=99$

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Key Concepts

Algebraic Manipulation

Algebraic manipulation involves rearranging equations using operations such as addition, subtraction, multiplication, or division to isolate the variable of interest or simplify the expression. This process is foundational in solving equations across different types of algebraic problems.

Quadratic Equations

Quadratic equations are equations of the form ax² + bx + c = 0, where a, b, and c are constants and a is not zero. They require specific techniques for solution, such as factoring, using the quadratic formula, or applying the square root property when the equation is presented in a simplified form.

Square Root Property

The square root property is a method used to solve equations in which a variable term is squared. After isolating the squared term on one side of the equation, taking the square root of both sides yields two potential solutions—one positive and one negative—because both squares result in the same value.

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