If you solve the radical equation Vx + 2 = -3 algebraically, you get a solution of x = 7. %3D If you solve the rational equation 1 6. algebraically, you get a 3x 2 X 3x2 solution of x = 0. The solution in each of these two equations is recognized as an extraneous solution. Explain in detail for each equation why the solution is in fact an extraneous solution.

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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If you solve the radical equation
Vx + 2 = -3 algebraically, you get a
solution of x = 7.
If you solve the rational equation
1
2
+
x2
solution of x = 0.
6
3r2 algebraically, you get a
3x
3x2
The solution in each of these two equations
is recognized as an extraneous solution.
Explain in detail for each equation why the
solution is in fact an extraneous solution.
Transcribed Image Text:If you solve the radical equation Vx + 2 = -3 algebraically, you get a solution of x = 7. If you solve the rational equation 1 2 + x2 solution of x = 0. 6 3r2 algebraically, you get a 3x 3x2 The solution in each of these two equations is recognized as an extraneous solution. Explain in detail for each equation why the solution is in fact an extraneous solution.
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