SOLUTION: the denominator of a fraction is 1 in excess of the square of the numerator. if 2 is added to the numerator and denominator, it equals to 1/4. find the fraction

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: the denominator of a fraction is 1 in excess of the square of the numerator. if 2 is added to the numerator and denominator, it equals to 1/4. find the fraction      Log On


   

Question 936627: the denominator of a fraction is 1 in excess of the square of the numerator. if 2 is added to the numerator and denominator, it equals to 1/4. find the fraction
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
n%2Fd, the fraction.

d=n%5E2%2B1; %28n%2B2%29%2F%28d%2B2%29=1%2F4, the description translated into two equations.

Try taking the 1%2F4 second equation and solve for d in terms of n; and then substitute for d in the quadratic equation, and solve for the value of n...