Ask your own question, for FREE!
Mathematics
OpenStudy (anonymous):

|(x/2) + 4| = 1 - x Solution 1: x + 8 = 2 - 2x 3x = -6 x = -2 Solution 2: x + 8 = -2 + 2x -x = -10 x = 10 Can anybody please explain why the second solution (x=10) doesn't work for this absolute value?

OpenStudy (anonymous):

well 1-10=-9, which is negative however, the absolute value of anything is always positive. Thus, 10 does not satisfy the absolute value equation

OpenStudy (anonymous):

Right, so you're saying that from now I should sub the x value into the equation just to make sure that it is a proper solution? I can see why it doesn't work, but if the solution is not real then why I do I get that answer?

OpenStudy (anonymous):

because it's an extraneous solution the solution arises when you remove the absolute value

OpenStudy (anonymous):

sign. The absolute value equation and the one you derived by removing the absolute value sign are not equivalent equations

OpenStudy (anonymous):

|dw:1314348606189:dw|

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
Victorya: why do you use math in this world?
23 minutes ago 10 Replies 5 Medals
Gorillaz1002: i need your opinion on this i updated it a little
2 hours ago 23 Replies 3 Medals
MrsHero: Help ss down below ;/..
2 hours ago 7 Replies 1 Medal
MrsHero: Help ss down below ;/
2 hours ago 0 Replies 0 Medals
nettym: math help please.
2 hours ago 10 Replies 3 Medals
MrsHero: Can yall rate my pic i took in Meepcity/roblox SS down bellow
2 hours ago 8 Replies 0 Medals
MrsHero: Helpp ss down bellow i suck at math thts wy im here u270c
2 hours ago 5 Replies 0 Medals
DONTPISSWITHME: What is 45^2 please help me
2 hours ago 21 Replies 1 Medal
MrsHero: help ss down below ud83dude2auff1eufe4fuff1c
2 hours ago 9 Replies 1 Medal
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!