A) 4
B) 9
C) 10
D) 12
Correct Answer: C
Solution :
\[\left| \sqrt{x}-2 \right|+\sqrt{x}\left( \sqrt{x}-4 \right)+2=0\] \[\left| \sqrt{x}-2 \right|+{{\left( \sqrt{x} \right)}^{2}}-4\sqrt{x}+2=0\] \[{{\left| \sqrt{x}-2 \right|}^{2}}+\left| \sqrt{x}-2 \right|-2=0\] \[\left| \sqrt{x}-2 \right|=-2\](not possible) or \[\left| \sqrt{x}-2 \right|=1\] \[\sqrt{x}-2=1,-1\] \[\sqrt{x}=3,1\] \[x=9,1\] Sum = 10
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