Chapter 9: Q. 392 (page 1108)

For the equation $\sqrt{u + 42} = u$
(a) Is $u = - 6$ solution?
(b) Is $u = 7$ a solution?

Short Answer

Expert verified

The value $u = - 6$ is not a solution and $u = 7$ is a solution

Step by step solution

Part (a) Step 1: Given information

Given equation $\sqrt{u + 42} = u$

Part (a) Step 2: Substituting and checking

Substituting, we get

$\sqrt{- 6 + 42} = - 6 \sqrt{36} = - 6 6 = - 6$

Its not true and is not a solution

Part (b) Step 1: Given information

Given equation $\sqrt{u + 42} = u$

Part (b) Step 2: Substituting and checking

Substituting, we get

$\sqrt{7 + 42} = 7 \sqrt{49} = 7 7 = 7$

Its true so it is a solution

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For the equation $\sqrt{u + 42} = u$
(a) Is $u = - 6$ solution?
(b) Is $u = 7$ 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

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For the equation u+42=u(a) Is u=-6solution? (b) Is u=7a 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

Pure Maths

Statistics

Discrete Mathematics

Geometry

Logic and Functions

Mechanics Maths

Study anywhere. Anytime. Across all devices.

For the equation $\sqrt{u + 42} = u$
(a) Is $u = - 6$ solution?
(b) Is $u = 7$ a solution?