## anonymous one year ago Help me solve this absolute value equation?

1. anonymous

$2\left| x+2 \right|-1=5$

2. anonymous

$2\left| x+2 \right|=5+1=6$ $\left| x+2 \right|=\frac{ 6 }{ 2 }=3$ $x+2=\pm3$ find x

3. anonymous

x=1

4. DanJS

yes, remember the abs value can have a + or - value and be true, like the last line above

5. anonymous

what about the equation $2\left| x+2 \right|-1=-5$

6. anonymous

I got zero but i know that's not the answer

7. DanJS

--solve for the absolute value quantity.$\left| something \right| = c$ --set that 'something' equal to + or - c $something = +c~~~~or~~~~something=-c$

8. DanJS

solve both of those for x...

9. anonymous

would it be -1?

10. DanJS

you should get 2 answers ,

11. anonymous

My first answer was x=1, I'm trying to solve the second equation now. I'm unsure of the answer because I know I'm taking the wrong steps

12. DanJS

that one is a bit different, just looked at it

13. anonymous

Yes, the second equation is negative

14. DanJS

The absolute value is greater than or equal to zero, so that one will not have any answers

15. anonymous

my options for that equation is -1 or -5

16. DanJS

$2*\left| x+2 \right|-1=-5$ $\left| x+2 \right|=-2$ false, no solution

17. anonymous

@surjithayer

18. anonymous

x+2=3,find x x+2=-3,find x