Question

the denominator of a fraction is one less than twice the numerator. If the sum of the fraction and it's reciprocal is 34/15 find the fraction

Answer 1

let numerator=x
then denominator=2x-1
according to question.
..
..........
x/2x-1+2x-1/x=
$4x ^{2} + 1 +x { \times x + }^{2} 4x \div 2x ^{2} - x$
x=
$3 + - \sqrt{ - 3 \div 6$