Solve the equation: |-2x + 5| = 2x - 5
- print Print
- list Cite
Expert Answers
calendarEducator since 2008
write3,662 answers
starTop subjects are Math, Science, and Social Sciences
l -2x +5 l = 2x -5
We have two cases:
(-2x+5) = 2x -5
==> We will combine like terms.
==> -2x -2x = -5 -5
==> -4x = -10
Divide by -4.
==> x = 10/4 = 5/2= 2.5...........(1)
Case (2):
- (-2x+5) = 2x-5
==> 2x -5 = 2x -5
==> 0 = 0
==> the answer is all x values such that - (-2x+5) > 0
==> 2x -5 >0
==> 2x > 5
==> x > 5/2..............(2)
Then, from (1) and (2) we have:
x= [ 5/2, inf)
Related Questions
- `5^(2x)+20*5^x-125=0` Solve the equation.
- 1 Educator Answer
- Solve the equation: |3x+2|=|3-2x|Solve the equation: |3x+2|=|3-2x|
- 1 Educator Answer
- `3^(x+4)=6^(2x-5)` Solve the equation.
- 1 Educator Answer
- solve the equation: 2^(2x-1)= 8^x
- 1 Educator Answer
- Solve the equation 2x squared - 7x = 0
- 1 Educator Answer
calendarEducator since 2010
write12,544 answers
starTop subjects are Math, Science, and Business
We have to solve the equation |-2x + 5| = 2x - 5
Now |-2x + 5| = -2x + 5 or 2x - 5
So we get -2x + 5 = 2x - 5
=> 4x = 10
=> x= 5/2
and 2x - 5 = 2x - 5, which does not yield a solution
The required value of x is 5/2
Unlock This Answer Now
Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.