20. 1(x+ D):(*- _)=5:4, then the va...
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20. 1(x+ D):(*- _)=5:4, then the value of x is (1) 0 (2) 1 (3) 2 (4) 3

11th - 12th Class
Maths
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20. (4) Given, ( frac{x+frac{1}{x}}{x-frac{1}{x}}=frac{5}{4} ) ( Rightarrow quad 4 timesleft(x+frac{1}{x}right)=5left(x-frac{1}{x}right) ) ( Rightarrow quad 4 x+frac{4}{x}=5 x-frac{5}{x} ) ( Rightarrow quad 5 x-4 x=frac{4}{x}+frac{5}{x} Rightarrow x=frac{9}{x} Rightarrow x^{2}=9 ) ( therefore quad x=pm sqrt{9}=pm 3 )
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