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## Is âˆš(xâˆ’5)^2=5âˆ’x?

##### This topic has expert replies
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### Is âˆš(xâˆ’5)^2=5âˆ’x?

by VJesus12 » Thu Jan 18, 2018 7:03 am
$$\text{Is}\ \sqrt{\left(x-5\right)^2}=5-x?$$ $$\left(1\right)\ -x\left|x\right|>0.$$ $$\left(2\right)\ 5-x>0.$$ The OA is the option D.

How can I prove that each statement alone is sufficient? I don't know how to prove that the statement (1) is sufficient. Experts, can you help me? Thanks.

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by GMATGuruNY » Thu Jan 18, 2018 8:17 am
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