1. Sum of four times a fraction and 6 times its reciprocal is 11. What is the fraction?
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By: anil on 05 May 2019 01.46 am
Let that fraction be $$frac{1}{x}$$ $$4 imes frac{1}{x} + 6x = 11$$ $$Rightarrow (4+6x^{2}) = 11 imes x$$ $$Rightarrow 6x^{2}-11x+4 = 0$$ $$Rightarrow(x-frac{8}{6})(x-frac{3}{6})=0$$ $$Rightarrow x = 4/3 or 1/2$$ $$Rightarrow ext{fraction} = frac{1}{x} = 3/4 ext(or) 2$$ so the answer is option A.
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