step 1 In this question we have to solve the given expression that is under root of y minus 1 plus of 4

Question

Solve. $$\sqrt{y-1}+4=0$$

Name: Problem 41, Chapter 3: Algebra and Trigonometry
Uploaded: 2020-07-13T09:12:19-08:00
Duration: 2 min 2 s
Channel: Ankit Gupta
Description: Solve. √(y-1)+4=0

   Solve.
$$\sqrt{y-1}+4=0$$

Algebra and Trigonometry

Judith A. Beecher,… 4th Edition

Chapter 3, Problem 41

Instant Answer

Solved by Expert Ankit Gupta

07/13/2020

Step 1

Step 1: We start with the given equation: $$\sqrt{y-1}+4=0$$ Show more…

Show all steps

Thanks for your feedback!

Solve. $$\sqrt{y-1}+4=0$$

Play audio

Feedback

Ankit Gupta and 63 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Domain Restrictions

In any radical equation, it is crucial to consider the domain of the square root. Specifically, the expression under the square root must be greater than or equal to zero to ensure that the function is defined.

Radical Equation Solving Strategy

A common method for solving equations with radicals involves isolating the radical on one side before further manipulation. However, one must always verify that the obtained solutions satisfy the original equation and adhere to all domain restrictions.

Square Root Function Properties

The square root function, when defined over the real numbers, always yields a nonnegative result. This inherent property implies that an equation equating a square root to a negative number is unsolvable in the real number system.

Please give Ace some feedback