Vx² +3x+7-5=x- 3 .2

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,...
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**Equation Solving Example**

1. Solve the equation. You are encouraged to **SHOW ALL WORK.** ✏️ If the grader cannot easily follow your solution, then credit cannot be given.

\[
\sqrt{x^2 + 3x + 7} - 5 = x - 3
\]

**Instructions for Solution:**

- Begin by isolating the square root expression if necessary.
- Consider squaring both sides to eliminate the square root.
- Be careful with the algebraic manipulation, ensuring all steps maintain equation balance.
- Simplify the resulting equation and solve for \( x \).
- Verify solutions to ensure no extraneous roots were introduced during squaring.

This type of equation may require checking to ensure all solutions satisfy the original equation, especially after squaring both sides.
Transcribed Image Text:**Equation Solving Example** 1. Solve the equation. You are encouraged to **SHOW ALL WORK.** ✏️ If the grader cannot easily follow your solution, then credit cannot be given. \[ \sqrt{x^2 + 3x + 7} - 5 = x - 3 \] **Instructions for Solution:** - Begin by isolating the square root expression if necessary. - Consider squaring both sides to eliminate the square root. - Be careful with the algebraic manipulation, ensuring all steps maintain equation balance. - Simplify the resulting equation and solve for \( x \). - Verify solutions to ensure no extraneous roots were introduced during squaring. This type of equation may require checking to ensure all solutions satisfy the original equation, especially after squaring both sides.
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