Chapter 9: Q. 391 (page 1108)

For the equation $\sqrt{t + 6} = t$ :
(a) Is $t = - 2$ a solution?
(b) Is $t = 3$ a solution?

Short Answer

Expert verified

Part (a) : The value $t = - 2$ is not a solution and

Part (b) : $t = 3$ is a solution

Step by step solution

Part (a) Step 1: Given information

Given equation $\sqrt{t + 6} = t$

Part (a) Step 2: Substituting and checking

Substituting, we get

$\sqrt{- 2 + 6} = - 2 \sqrt{4} = - 2 2 = - 2$

Its not true so it is not a solution

Part (b) Step 1: Given information

Given equation $\sqrt{t + 6} = t$

Part (b) Step 2: Substituting and checking

Substituting, we get

$\sqrt{3 + 6} = 3 \sqrt{9} = 3 3 = 3$

So its true and is a solution

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

For the equation $\sqrt{t + 6} = t$ :
(a) Is $t = - 2$ a solution?
(b) Is $t = 3$ a solution?

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (a) Step 2: Substituting and checking

Part (b) Step 1: Given information

Part (b) Step 2: Substituting and checking

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Probability and Statistics

Logic and Functions

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

For the equation t+6=t: (a) Is t=-2a solution? (b) Is t=3a solution?

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (a) Step 2: Substituting and checking

Part (b) Step 1: Given information

Part (b) Step 2: Substituting and checking

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Probability and Statistics

Logic and Functions

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

For the equation $\sqrt{t + 6} = t$ :
(a) Is $t = - 2$ a solution?
(b) Is $t = 3$ a solution?