A) 58
B) 142
C) 104
D) \[-\]104
Correct Answer: A
Solution :
\[{{\left( \frac{{{x}^{a}}}{{{x}^{b}}} \right)}^{a+b}}\times {{\left( \frac{{{x}^{b}}}{{{x}^{c}}} \right)}^{b+c}}\times {{\left( \frac{{{x}^{c}}}{{{x}^{a}}} \right)}^{c+a}}\] Squaring on both sides \[a=\frac{1}{2-\sqrt{3}},b=\frac{1}{2+\sqrt{3},}\] \[{{\left( \frac{a+b}{a-b} \right)}^{2}}\] \[{{x}^{2}}-x-6=0?\]
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