Given the equation 2 square root x minus 5 equals 2, solve for x and identify if it is an extraneous solution.

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chatarianesmit chatarianesmit

03-06-2018
Mathematics

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Given the equation 2 square root x minus 5 equals 2, solve for x and identify if it is an extraneous solution.

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gmany gmany · Answer 1 · 2018-06-09T23:29:58+02:00

gmany gmany

09-06-2018

[tex]\text{The domain}\\x-5\geq0\to x\geq5\\D:x\geq5\\\\2\sqrt{x-5}=2\ \ \ |:2\\\sqrt{x-5}=1\ \ \ |\text{square both sides}\\x-5=1^2\ \ \ \ |+5\\x=6\in D[/tex]

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