Solve the equation. |x-3|=2

lenlifiauw2

lenlifiauw2

Answered question

2021-11-19

Solve the equation.
|x3|=2

Answer & Explanation

Supoilign1964

Supoilign1964

Beginner2021-11-20Added 19 answers

Step 1
Solve the equation |x-3|=2.
Step 2
If |y|=a, a>0, then y=a or y=-a.
Apply the above result to solve the equation.
|x-3|=2
x-3=-2 or x-3=2
x=-2+3 or x=2+3
x=1 or x=5
Hence, the solutions of the equation are x=1,5.
Cherry McCormick

Cherry McCormick

Beginner2021-11-21Added 23 answers

Calculation:
The given absolute value equation is |x — 3| = 2
In this case, since absolute value is the only term on left side of the equation, we start with step 3.
|x — 3| = 2 is equivalent to:
x-3=2 and x-3=-2
Let’s solve the first equation: x — 3 = 2
Add 3 on both sides: x-3 +3 =243
Simplify: x = 5
Let’s solve the second equation: x — 3 = -2
Add 3 on both sides: x- 3 +3 =-2+3
Simplify: x = 1
Final solution:
The solution of given absolute value equation is x = 5 or x = 1.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?