Chapter 10: Q 228. (page 1236)

In the following exercises, solve using the Square Root Property.
${(z - 5)}^{2} = 50$

Short Answer

Expert verified

The required answer is $z = 5 + 5 \sqrt{2} and z = 5 - 5 \sqrt{2}$ .

Step by step solution

Step 1. Given information.

The given quadratic equation is:

${(z - 5)}^{2} = 50$

Step 2. Solve using the quadratic equation by using Square Root Property.

${(z - 5)}^{2} = 50$

Use Square Root Property,

$z - 5 = \pm \sqrt{50}$

Simplify the radical,

$z - 5 = \pm \sqrt{25} \sqrt{2} z - 5 = \pm 5 \sqrt{2}$

Write as two equations and solve,

role="math" localid="1653460785498" $z - 5 = 5 \sqrt{2}, z - 5 = - 5 \sqrt{2} z = 5 + 5 \sqrt{2} and z = 5 - 5 \sqrt{2}$

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In the following exercises, solve using the Square Root Property.
${(z - 5)}^{2} = 50$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solve using the quadratic equation by using Square Root Property.

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In the following exercises, solve using the Square Root Property.z-52=50

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solve using the quadratic equation by using Square Root Property.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Mechanics Maths

Pure Maths

Theoretical and Mathematical Physics

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the following exercises, solve using the Square Root Property.
${(z - 5)}^{2} = 50$