SOLUTION: Please help me with this problem. Solve for x:
5 - 3│2x - 1| = -x .
Thank you,
welljesse
Algebra.Com
Question 59574: Please help me with this problem. Solve for x:
5 - 3│2x - 1| = -x .
Thank you,
welljesse
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Please help me with this problem. Solve for x:
5 - 3│2x - 1| = -x .
CASE 1.......2X-1>0....THAT IS 2X>1...X>1/2
|2X-1|=2X-1
5-3(2X-1)=-X
5-6X+3=-X
5X=8
X=8/5...THIS SATISFIES THE ASSUMPTION AT THE BEGINING THAT X>1/2
HENCE ONE SOLUTION IS X = 8/5
CASE 2......2X-1<0....THAT IS 2X<1...X<1/2
|2X-1|=-(2X-1)=-2X+1
5-3(-2X+1)=-X
5+6X-3=-X
7X=-2
X=-2/7.....THIS SATISFIES THE ASSUMPTION AT THE BEGINING THAT X<1/2
HENCE SECOND SOLUTION IS X = -2/7
Thank you,
welljesse
RELATED QUESTIONS
I have another absolute value problem that is stumping me. We are supposed to solve for... (answered by venugopalramana)
Please help me with this problem. I missed this problem on a test:
Graph the equation... (answered by Nate,funmath)
I have been working on this problem forever and can not come up with the answer in the... (answered by khwang)
This question is really bothering me. Please help. Express f(x) = x2 + │x+3│... (answered by stanbon)
Could you please help me with this problem?
1/(x^2-2x-3)+2/(x^2+2x+1) Thank... (answered by uma)
Can you please help me solve this algebra problem.... (answered by jim_thompson5910)
Can you please help me solve this problem?... (answered by Edwin McCravy)
Please help me solve this problem. I am so lost! Thank you.
Solve for x: 4^2x-1= 1/2
(answered by tommyt3rd)
Solve for x. 4x(x-1)-5x(x)=3
I am lost. Please help me solve this problem.
Thank... (answered by stanbon)