Find all real solutions of the equation. |2x-5|=9

hionormf

hionormf

Answered question

2021-12-11

Find all real solutions of the equation.
|2x-5|=9

Answer & Explanation

Tiefdruckot

Tiefdruckot

Beginner2021-12-12Added 46 answers

Step 1
Given equation:
|2x-5|=9
Solve Absolute Value.
|2x-5|=9
We know either 2x-5=9 or 2x-5=-9
Step 2
Solve 2x-5=9
Add 5 to both sides, we get
2x-5+5=9+5
2x=14
Divide both sides by 2, we get
2x2=142
x=7
Now, solve 2x-5=-9
Add 5 to both sides, we get
2x-5+5=-9+5
2x=-4
Divide both sides by 2, we get
2x2=42
x=-2
Step 3
Hence the value of x=7 and -2.

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