If a is a non-zero, real number and a(x - 3)² - b = c, • Prove that x = 3 ± √b+c. Show your work. a . If a = 2 and b = 5, determine what condition(s) on c will restrict the solutions for x to real numbers. Explain your reasoning. Enter your proof, your answer, and your explanation in the space provided.

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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27. If a is a non-zero, real number and a(x - 3)² - b = c,
• Prove that x = 3 ± √b+c. Show your work.
a
• If a = 2 and b = 5, determine what condition(s) on c will restrict the
solutions for x to real numbers.
Explain your reasoning.
Enter your proof, your answer, and your explanation in the space provided.
Transcribed Image Text:27. If a is a non-zero, real number and a(x - 3)² - b = c, • Prove that x = 3 ± √b+c. Show your work. a • If a = 2 and b = 5, determine what condition(s) on c will restrict the solutions for x to real numbers. Explain your reasoning. Enter your proof, your answer, and your explanation in the space provided.
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