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Question 88
A positive fraction is greater than twice its reciprocal by 7/15. What is the fraction?
Solution
Let the fraction be $$x$$
According to ques,
=> $$x-\frac{2}{x}=\frac{7}{15}$$
=> $$\frac{x^2-2}{x}=\frac{7}{15}$$
=> $$15x^2-30=7x$$
=> $$15x^2-7x-30=0$$
=> $$15x^2-25x+18x-30=0$$
=> $$5x(3x-5)+6(3x-5)=0$$
=> $$(3x-5)(5x+6)=0$$
=> $$x=\frac{5}{3},\frac{-6}{5}$$
$$\because x$$ is positive, => $$x=\frac{5}{3}$$
=> Ans - (B)
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