Subject
Quantitative Aptitude
Topic
Number
The difference between a positive proper fraction and its reciprocal is 9/ The fraction is:
The difference between a positive proper fraction and its reciprocal is 9/ The fraction is:
ক)
3/5খ)
3/10গ)
4/5ঘ)
4/3Explanation
Let the required fraction be x. Then (1/x) - x = 9/20 So, (1 - x2)/x = 9/20 => 20 - 20x2 = 9x => 20x2 + 9x - 20 = 0 => 20x2 + 25x - 16x - 20 = 0 => 5x(4x + 5) - 4(4x + 5) = 0 => (4x + 5)(5x - 4) = 0 So, x = 4/5Related questions
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