Question

The dinomenator of a fraction is 3 more than its numerator. The sum of the fracrtion and its resipocal is 2*9/10.Find the fraction

Answer 1

Let the numerator be x

Let the denominator be x+3.

x/(x+3)+(x+3)/x =2*9/10 (Mixed Fraction)

By taking LCM,

{x²+(x+3)²}/x(x+3) = 29/10

=>{(x²+x²+9+6x)/(x²+3x)}= 29/10

=>2x²+6x+9/x²+3x = 29/10

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x²+3| 2x²+6x+9 |2+6/x

2x²+----+6

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6x + 3

6x + 18/x

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3-18/x