Chapter 9: Q. 411 (page 1108)

In the following exercises, solve.
(a) $\sqrt{s - 8} - s = - 8$
(b)role="math" localid="1647990991155" $\sqrt{w + 25} - w + 5 = 0$

Short Answer

Expert verified

Part (a) : $s = 8, 9$

Part (b) : $w = 0, 11$

Step by step solution

Part (a). Step 1. Given information.

An equation is given as $\sqrt{s - 8} - s = - 8$ .

Part (a) Step 2. Solution.

Isolate radical to one side, take square and simplify.

$\sqrt{s - 8} - s = - 8 \sqrt{s - 8} - s + s = - 8 + s \sqrt{s - 8} = s - 8 {(\sqrt{s - 8})}^{2} = {(s - 8)}^{2} s - 8 = s^{2} - 16 s + 64 0 = s^{2} - 16 s + 64 - s + 8 0 = s^{2} - 17 s + 72 s^{2} - 17 s + 72 = 0 s^{2} - 9 s - 8 s + 72 = 0 s (s - 9) - 8 (s - 9) = 0 (s - 9) (s - 8) = 0 s = 9 o r s = 8$

Part (b) Step 1. Solution.

To solve $\sqrt{w + 25} - w + 5 = 0$ .

Isolate radical to one side, take square and simplify.

$\sqrt{w + 25} - w + 5 = 0 \sqrt{w + 25} - w + 5 + w - 5 = 0 + w - 5 \sqrt{w + 25} = w - 5 {(\sqrt{w + 25})}^{2} = {(w - 5)}^{2} w + 25 = w^{2} - 10 w + 25 0 = w^{2} - 10 w - w + 25 - 25 0 = w^{2} - 11 w w^{2} - 11 w = 0 w (w - 11) = 0 w = 0 o r w = 11$

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In the following exercises, solve.
(a) $\sqrt{s - 8} - s = - 8$
(b)role="math" localid="1647990991155" $\sqrt{w + 25} - w + 5 = 0$

Short Answer

Step by step solution

Part (a). Step 1. Given information.

Part (a) Step 2. Solution.

Part (b) Step 1. Solution.

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In the following exercises, solve.(a) s-8-s=-8(b)role="math" localid="1647990991155" w+25-w+5=0

Short Answer

Step by step solution

Part (a). Step 1. Given information.

Part (a) Step 2. Solution.

Part (b) Step 1. Solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Mechanics Maths

Discrete Mathematics

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Study anywhere. Anytime. Across all devices.

In the following exercises, solve.
(a) $\sqrt{s - 8} - s = - 8$
(b)role="math" localid="1647990991155" $\sqrt{w + 25} - w + 5 = 0$