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3 years ago

What is the solution of |x- 5|-2=10?

Mathematics

2 answers:

Lelu [443]3 years ago

8 0

Answer:

x=17, x=-7

Step-by-step explanation:

Step 1 :

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

|x-5|-2 = 10

Another term is moved / added to the right hand side.

|x-5| = 12

Step 2 :

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |x-5|

For the Negative case we'll use -(x-5)

For the Positive case we'll use (x-5)

Step 3 :

Solve the Negative Case

-(x-5) = 12

Multiply

-x+5 = 12

Rearrange and Add up

-x = 7

Multiply both sides by (-1)

x = -7

Which is the solution for the Negative Case

Step 4 :

Solve the Positive Case

(x-5) = 12

Rearrange and Add up

x = 17

Which is the solution for the Positive Case

Step 5 :

Wrap up the solution

x=-7

x=17

max2010maxim [7]3 years ago

6 0

Answer:the answer is A

Step-by-step explanation:

x=-7 or x=17

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