i very confused and its due today please help

Question

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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

Icebulb2 Nov 4, 2023

Melody · Answer 1 · 2023-11-04T03:49:30

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.