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Mathematics 25 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|

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