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Find all values of  such that sqrt4 x^2 + sqrt x^2=6.

 

there are more than 1 answers, and 2 and 6 i have done, dont know the rest

 Nov 4, 2023
 #1
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sqrt4 x^2 + sqrt x^2=6

 

You have not used brackets, is this the question?   

 

\(\sqrt{4 x^2} + \sqrt {x^2}=6\)

 

\(\sqrt{x^2}=|x| \\SO\\ 2|x|+|x|=6\\ 3*|x|=6\\ |x|=2\\ x=\pm2\)

 

I have assumed that x is a real number.

 Nov 4, 2023

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