Chapter 9: Q.409. (page 982)

Solve using the square root property.
$n^{2} + 10 n + 25 = 12$

Short Answer

Expert verified

The solution is $n = \pm 2 \sqrt{3} - 5$ .

Step by step solution

Step 1. Given information.

The given equation is $n^{2} + 10 n + 25 = 12$ .

Step 2. Apply the square root property.

The property states that if $x = k^{2}$ , then $x = \pm \sqrt{k}$ .

Step 3. Simplify the equation.

$n^{2} + 10 n + 25 = 12 n^{2} + 2 \cdot n \cdot 5 + 5^{2} = 12 {(n + 5)}^{2} = 12 n + 5 = \pm \sqrt{12} n + 5 = \pm 2 \sqrt{3} n = \pm 2 \sqrt{3} - 5$

Step 4. Simplified answer.

Hence, the required solution is $n = \pm 2 \sqrt{3} - 5$ .

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Solve using the square root property.
$n^{2} + 10 n + 25 = 12$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Apply the square root property.

Step 3. Simplify the equation.

Step 4. Simplified answer.

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Solve using the square root property.n2+10n+25=12

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Apply the square root property.

Step 3. Simplify the equation.

Step 4. Simplified answer.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Discrete Mathematics

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Geometry

Statistics

Study anywhere. Anytime. Across all devices.

Solve using the square root property.
$n^{2} + 10 n + 25 = 12$