Solve the given equation over the real numbers. Present exact value(s). If there are more than one solutions, separate them by a comma. If there is no solution, enter DNE. (3p-1)² = -15 p=
Solve the given equation over the real numbers. Present exact value(s). If there are more than one solutions, separate them by a comma. If there is no solution, enter DNE. (3p-1)² = -15 p=
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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![**Question 11**
Solve the given equation over the real numbers. Present exact value(s). If there are more than one solution, separate them by a comma. If there is no solution, enter DNE.
\[
(3p - 1)^2 = -15
\]
\( p = \) [Input Box]
**Submit Question**
*Explanation:*
The equation \((3p - 1)^2 = -15\) asks you to find the values of \(p\) that satisfy the equation. Since the square of any real number is always non-negative, \((3p - 1)^2\) cannot equal a negative number like \(-15\) in the real number system. Therefore, there is no real solution, and you should enter DNE (Does Not Exist).
There are no graphs or diagrams associated with this question.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F83652ec7-0089-492c-bd3a-930c9ce8c651%2F9710326a-d571-40fa-98e4-f5f825bf1164%2Fkuzjsua_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 11**
Solve the given equation over the real numbers. Present exact value(s). If there are more than one solution, separate them by a comma. If there is no solution, enter DNE.
\[
(3p - 1)^2 = -15
\]
\( p = \) [Input Box]
**Submit Question**
*Explanation:*
The equation \((3p - 1)^2 = -15\) asks you to find the values of \(p\) that satisfy the equation. Since the square of any real number is always non-negative, \((3p - 1)^2\) cannot equal a negative number like \(-15\) in the real number system. Therefore, there is no real solution, and you should enter DNE (Does Not Exist).
There are no graphs or diagrams associated with this question.
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