1. The sum of a fraction and 3 times its reciprocal is 37/10. What is the fraction?
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By: anil on 05 May 2019 01.46 am
Let the fraction be $$x$$ According to ques, => $$x+frac{3}{x}=frac{37}{10}$$ => $$frac{x^2+3}{x}=frac{37}{10}$$ => $$10x^2+30=37x$$ => $$10x^2-37x+30=0$$ => $$10x^2-25x-12x+30=0$$ => $$5x(2x-5)-6(2x-5)=0$$ => $$(2x-5)(5x-6)=0$$ => $$x=frac{5}{2},frac{6}{5}$$ => Ans - (A)
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