Chapter 10: Q 3. (page 643)

Use the Square Root Method to find the real solutions of ${(x + 4)}^{2} = 9$ .

Short Answer

Expert verified

Real solution of ${(x + 4)}^{2} = 9$ is x = -1 and $x = - 7$ .

Step by step solution

Step 1. Given information.

We have given equation is,

${(x + 4)}^{2} = 9$

Step 2. Concept used.

If $a^{2} = b t h e n a = \sqrt{b} a n d a = - \sqrt{b}$ .

Step 3. Explanation.

We have given,

${(x + 4)}^{2} = 9$

Using square root method,

localid="1646649530505" $(x + 4) = \sqrt{9} a n d (x + 4) = - \sqrt{9}$

Solving both equations for x,

$(x + 4) = 3 a n d (x + 4) = - 3 \Rightarrow x = 3 - 4 a n d x = - 3 - 4 \Rightarrow x = - 1 a n d x = - 7$

Step 4. Conclusion.

Hence, the real solution for ${(x + 4)}^{2} = 9$ is

$x = - 1$ and $x = - 7$

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Use the Square Root Method to find the real solutions of ${(x + 4)}^{2} = 9$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Explanation.

Step 4. Conclusion.

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Use the Square Root Method to find the real solutions of (x+4)2=9.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Explanation.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Mechanics Maths

Decision Maths

Statistics

Discrete Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Use the Square Root Method to find the real solutions of ${(x + 4)}^{2} = 9$ .