Chapter 10: Q 323 (page 1240)

Use the Square Root Property to solve the quadratic equation: $3 {(w + 5)}^{2} = 27$

Short Answer

Expert verified

The required result is $w = - 8, - 2$ .

Step by step solution

Given information

The given equation is $3 {(w + 5)}^{2} = 27$

Step 2. Simplify the expression and use the square root property.

Divide both sides of the equation by 3.

${(w + 5)}^{2} = 9$

Use square root property.

localid="1653645233798" $\begin{array}{rcl} (w + 5) & = & \pm \sqrt{9} \\ (w + 5) & = & \pm 3 \\ w & = & \pm 3 - 5 \\ w & = & - 3 - 5, 3 - 5 \\ w & = & - 8, - 2 \end{array}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Use the Square Root Property to solve the quadratic equation: $3 {(w + 5)}^{2} = 27$

Short Answer

Step by step solution

Given information

Step 2. Simplify the expression and use the square root property.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Decision Maths

Theoretical and Mathematical Physics

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Use the Square Root Property to solve the quadratic equation:3w+52=27

Short Answer

Step by step solution

Given information

Step 2. Simplify the expression and use the square root property.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Decision Maths

Theoretical and Mathematical Physics

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Use the Square Root Property to solve the quadratic equation: $3 {(w + 5)}^{2} = 27$