A) \[x=0\]
B) \[x={{\left( \frac{a}{2b} \right)}^{1/6}}\]
C) \[x={{\left( \frac{2a}{b} \right)}^{1/6}}\]
D) \[x={{\left( \frac{11a}{5b} \right)}^{1/16}}\]
Correct Answer: C
Solution :
Given: \[U(x)=\frac{a}{{{x}^{12}}}-\frac{b}{{{x}^{6}}}\] or\[-\frac{12a}{{{x}^{13}}}-\frac{-6b}{{{x}^{7}}}=0\]or \[{{x}^{6}}=\frac{2a}{b}.\] Therefore \[x={{\left( \frac{2a}{b} \right)}^{1/6}}\]You need to login to perform this action.
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