Solve absolute value equation or indicate the equation has no

Margie Marx

Margie Marx

Answered question

2021-12-19

Solve absolute value equation or indicate the equation has no solution.
|2x - 1 | + 3 = 3

Answer & Explanation

kaluitagf

kaluitagf

Beginner2021-12-20Added 38 answers

Step 1
given:
|2x-1|+3=3
Step 2
|2x-1|+3=3
therefore,
|2x-1|+3=3
|2x-1|=0
as we know that if |x|=a then x=±a.
therefore
|2x-1|=0
2x1=±0
2x-1=0
2x=1
x=12
therefore solution of the given equation is x=12
Orlando Paz

Orlando Paz

Beginner2021-12-21Added 42 answers

Given,
|2x-1|+3=3
On simplification, we get
|2x-1|+3=3
|2x1|=33
|2x1|=0
2x1=0
2x=1
x=12

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