9514 1404 393
Answer:
is no extraneous solution
Step-by-step explanation:
An absolute value equation typically does not have extraneous solutions. The solutions to this one are ...
x ∈ {-5, 1}
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Unless there is some domain restriction, this equation has no extraneous solutions.
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For -2x-4 < 0
-2(2x +4) = -12
x +2 = 3
x = 1 . . . . . . -2(1)-4 = -6 < 0. Not an extraneous solution
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For -2x-4 > 0
-2(-2x -4) = -12
4x +8 = -12
4x = -20
x = -5 . . . . . . -2(-5) -4 = 6 > 0. Not an extraneous solution
