SOLUTION: for the equation |x-2|-2=7 I believe your answers are x=11 and x=-3 because once you solve for the first one you have to make a negative equation so you would put: |x-2|-2=NEGAT

Algebra ->  Absolute-value -> SOLUTION: for the equation |x-2|-2=7 I believe your answers are x=11 and x=-3 because once you solve for the first one you have to make a negative equation so you would put: |x-2|-2=NEGAT      Log On


   



Question 410417: for the equation |x-2|-2=7
I believe your answers are x=11 and x=-3 because once you solve for the first one you have to make a negative equation so you would put: |x-2|-2=NEGATIVE 7.
Is this answer correct? I just made up this example problem to help me with my upcoming Algebra quiz.
Thank You.

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
|x-2|-2=7
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Add 2 to both sides to get:
|x-2| = 9
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Therefore the x-2 must be 9 or it is -9
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Solve:
x-2 = 9 or x-2 = -9
x = 11 or x = -7
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
abs%28x+-2%29+-+2+=+7
x+=+11
abs%2811+-2%29+-+2+=+7
9+-+2+=+7
and
abs%28x+-2%29+-+2+=+7
x+=+-7
abs%28-7+-2%29+-+2+=+7
9+-+2+=+7
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the answers are
x+=+11
x+=+-7