Ask your own question, for FREE!
Mathematics 54 Online
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
xXAikoXx: PLEASE HELP- MY TEACHER WANTS US TO SOLVE THIS
1 hour ago 19 Replies 4 Medals
Breathless: I drew today kinda happy abt it
1 hour ago 11 Replies 2 Medals
xXAikoXx: Alright, opinions on this next beat-
1 hour ago 2 Replies 0 Medals
xXAikoXx: what yall think of this beat
1 hour ago 12 Replies 1 Medal
khloikamren0118: drawling ive doneud83dude0c
20 minutes ago 26 Replies 2 Medals
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!