Solve the absolute value equation for x. |x-2/3|=|6-x|

Russell Gillen

Russell Gillen

Answered question

2021-12-10

Solve the absolute value equation for x.
|x23|=|6x|

Answer & Explanation

Elaine Verrett

Elaine Verrett

Beginner2021-12-11Added 41 answers

Step 1
Given equation is
|x23|=|6x|
Squaring both sides , we get
(x23)2=(6x)2
x243x+49=36+x212x
12x43x+4936=0
108x-12x+4-324=0
96x-320=0
x=32096=103
Step 2
Ans:
Solution of given equation is x=10/3

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