√5x+1=√10x +3

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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Solve EXACTLY like the exmaple attached and show your check.

 

Watch your check because when you try to take the square root of a negative number that means that the problem has no solution or extraneous.

√5x+1=√10x +3
*****
Transcribed Image Text:√5x+1=√10x +3 *****
= 0
(3√x + 2)² = ( - √x-4) ²
9 (x+²) = x-4
9x+18 = X-4
8x +18=-4
-18 -18
3/2+2 +√√x-4
8x=-22
x = -32-4
check:
3-11/4+2 +
3-1 + ² + √√--4 = 0
3√ ²2/1 + √- ²2/7 = 0
4
-1 1/4-4 =0
z[No Solution
Transcribed Image Text:= 0 (3√x + 2)² = ( - √x-4) ² 9 (x+²) = x-4 9x+18 = X-4 8x +18=-4 -18 -18 3/2+2 +√√x-4 8x=-22 x = -32-4 check: 3-11/4+2 + 3-1 + ² + √√--4 = 0 3√ ²2/1 + √- ²2/7 = 0 4 -1 1/4-4 =0 z[No Solution
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