1. The sum of a number and 4 times its reciprocal is 5. What is the number?
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By: anil on 05 May 2019 01.46 am
Let the fraction be $$x$$ According to ques, => $$x+frac{4}{x}=5$$ => $$frac{x^2+4}{x}=5$$ => $$x^2+4=5x$$ => $$x^2-5x+4=0$$ => $$x^2-x-4x+4=0$$ => $$x(x-1)-4(x-1)=0$$ => $$(x-1)(x-4)=0$$ => $$x=1,4$$ => Ans - (A)
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