Solve the equation V(X + 30) = X +10 %3D
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
in image
![**Solve the Equation**
\[ \sqrt{(X + 30)} = X + 10 \]
To solve this equation:
1. **Isolate the square root**: It's already isolated on the left side of the equation.
2. **Square both sides** to eliminate the square root:
\[ X + 30 = (X + 10)^2 \]
3. **Expand the right side**:
\[ X + 30 = X^2 + 20X + 100 \]
4. **Rearrange the equation to set it to zero**:
\[ X^2 + 20X + 100 - X - 30 = 0 \]
\[ X^2 + 19X + 70 = 0 \]
5. **Solve the quadratic equation** using the quadratic formula or factoring, if possible.
6. **Check the solutions** to ensure they satisfy the original equation, as squaring can introduce extraneous solutions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33eba9e5-eb7d-44a1-93e3-ed0ee897e17f%2F441e382d-4ace-4595-bfe1-2e365c0197b2%2Fvbkay2g_processed.png&w=3840&q=75)
Transcribed Image Text:**Solve the Equation**
\[ \sqrt{(X + 30)} = X + 10 \]
To solve this equation:
1. **Isolate the square root**: It's already isolated on the left side of the equation.
2. **Square both sides** to eliminate the square root:
\[ X + 30 = (X + 10)^2 \]
3. **Expand the right side**:
\[ X + 30 = X^2 + 20X + 100 \]
4. **Rearrange the equation to set it to zero**:
\[ X^2 + 20X + 100 - X - 30 = 0 \]
\[ X^2 + 19X + 70 = 0 \]
5. **Solve the quadratic equation** using the quadratic formula or factoring, if possible.
6. **Check the solutions** to ensure they satisfy the original equation, as squaring can introduce extraneous solutions.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning