Welcome :: Homework Help and Answers :: Mathskey.com

Recent Visits

    
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

774,976 users

Solve absolute value equation!!!!

+3 votes
Solve abs(x-8)=12, show step by step answer., Thanks!!!!!!!!!!!!!!!!!!!!!!
asked Dec 21, 2012 in ALGEBRA 2 by Jose Rodriguez Rookie
reshown Dec 21, 2012 by steven

2 Answers

+3 votes
The given expression is  |x - 8| = 12

remove absolute value brackets and write two equations

x - 8 = 12  -----(1)  :   x - 8 = -12 -----(2)

solve equation  x - 8 = 12

add 8 to each side

x - 8 + 8 = 12 + 8

x = 20

solve equation x - 8 = -12

add 8 to each side

x - 8 + 8 = -12 + 8

x = -4

The value of  x  is 20  or  -4
answered Dec 22, 2012 by Johncena Apprentice
0 votes

Absolute value equations :

When solving equations, that involve absolute values, there are two cases to consider.

Case 1: The expression inside the absolute value symbol is positive or zero.

Case 2 :  The expression inside the absolute value symbol is negative.

Symbols : For any real numbers a and b, if | a | = b and b ≥ 0, then a = b or a = - b.

  •  The equation is | x - 8 | = 12.

Case 1:

If a = b, then x - 8 = 12.

x = 12 + 8

x = 20.

Case 2 :

If a = - b, then x - 8 = - 12.

x = - 12 + 8

x = - 4.

The solution is x = 20 or x = - 4.

answered Jun 21, 2014 by lilly Expert

Related questions

asked Jul 6, 2016 in PRECALCULUS by anonymous
asked Jul 6, 2016 in PRECALCULUS by anonymous
asked Sep 29, 2014 in CALCULUS by anonymous
...