3(x+7)+17 59 a. -7 + 13 b. %3D C. 42 土13 d. -7 + 14 42 土 /14

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Topic Video
Question
The image contains a mathematical equation and multiple-choice options for solving the equation. Here's a transcription suitable for an educational website: 

---

**Problem 10: Solve the quadratic equation**

\[ 3(x + 7)^2 + 17 = 59 \]

Determine the values of \( x \) from the following options:

a. \(-7 \pm \sqrt{13}\)

b. \(42 \pm \sqrt{14}\)

c. \(42 \pm \sqrt{13}\)

d. \(-7 \pm \sqrt{14}\)

---

Approach solving this equation by first simplifying and isolating the variable. The options are presented such that each involves a calculation with square roots, requiring an understanding of the quadratic formula and simplification of radicals.
Transcribed Image Text:The image contains a mathematical equation and multiple-choice options for solving the equation. Here's a transcription suitable for an educational website: --- **Problem 10: Solve the quadratic equation** \[ 3(x + 7)^2 + 17 = 59 \] Determine the values of \( x \) from the following options: a. \(-7 \pm \sqrt{13}\) b. \(42 \pm \sqrt{14}\) c. \(42 \pm \sqrt{13}\) d. \(-7 \pm \sqrt{14}\) --- Approach solving this equation by first simplifying and isolating the variable. The options are presented such that each involves a calculation with square roots, requiring an understanding of the quadratic formula and simplification of radicals.
Expert Solution
Step 1

Given 3x+72+17=59

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Quadrilaterals
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education