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1) \(\sqrt{x^4}\) = 9
\(x^\frac{4}{2}\) = 9
\(x^2\) = 9
x= +3 or -3
insuff

(2) The average (arithmetic mean) of x^2, 6x, and 3 is -2

\(\frac{x^2+6x+3}{3}\)= -2
\(x^2+6x+3\) = -6
\(x^2+6x+9 = 0\)
(x+3) (x+3) = 0
x=-3
suff


ans
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(1) √\(x^4\)=9
\(x^2\)=9
x= +3, -3
Insufficient


(2) The average (arithmetic mean) of \(x^2\), 6x and 3 is -2.
\(x^2\)+6x+3 = -6
\(x^2\)+6x+9 = 0
x=3
Sufficient

IMO Option B
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Asked: What is the value of x ?

(1) \(\sqrt{x^4} = 9\)
x= {-3,3}
NOT SUFFICIENT

(2) The average (arithmetic mean) of x^2, 6x and 3 is -2.
(x^2+6x+3)/3 =-2
x^2+6x+3=-6
x^2+6x+9=0
(x+3)^2=0
x=-3
SUFFICIENT

IMO B

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