step 1 In this question we have to solve the following equation. Root over of 2x minus 8 is equal to 15

Question

Solve. $$ \sqrt{2 x-8}=15 $$

Name: Problem 55, Chapter 8: Intermediate Algebra : Concepts and Applications
Uploaded: 2020-07-24T00:57:47-08:00
Duration: 55 s
Channel: Ankit Gupta
Description: Solve. √(2 x-8)=15

   Solve.
$$
\sqrt{2 x-8}=15
$$

Intermediate Algebra : Concepts and Applications

Marvin L. Bittinger,… 10th Edition

Chapter 8, Problem 55

Instant Answer

Solved by Expert Ankit Gupta

07/24/2020

Step 1

This gives us: $$(\sqrt{2x-8})^2 = 15^2$$ Show more…

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Solve. $$ \sqrt{2 x-8}=15 $$

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Key Concepts

Radical Equations

Radical equations are equations in which the variable is part of a radical, such as a square root. These require special handling because the properties of radicals, particularly that the square root of an expression is nonnegative, impact how the equation is solved and how solutions are validated.

Domain Restrictions

When dealing with square root functions, it is essential that the radicand (the expression under the square root) is nonnegative. This restriction is necessary to ensure that the square root is defined within the realm of real numbers and must be considered when solving the equation.

Squaring Both Sides

Squaring both sides is a common method used to eliminate the square root in a radical equation. While this technique simplifies the equation, it can introduce extraneous solutions that do not satisfy the original equation. Therefore, any potential solutions must be checked against the original equation to ensure they are valid.

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