1. Sum of twice a fraction and its reciprocal is 17/6. What is the fraction?
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By: anil on 05 May 2019 01.44 am
Let that fraction be $$frac{1}{x}$$ $$2 imes frac{1}{x} + x = frac{17}{6}$$ $$Rightarrow (2+x^{2}) = frac{17}{6} imes x$$ $$Rightarrow 6x^{2}-17x+12 = 0$$ $$Rightarrow(x-frac{8}{6})(x-frac{9}{6})=0$$ $$Rightarrow x = 4/3 or 3/2$$
$$Rightarrow ext{fraction} = frac{1}{x} = 3/4 ext(or) 2/3$$
so the answer is option C.
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$$Rightarrow ext{fraction} = frac{1}{x} = 3/4 ext(or) 2/3$$
so the answer is option C.