SOLUTION: the numerator of a fraction is 3 less than the denominator. when both the numerator and denominator are increased by 4, the fraction is increased by 12/77. find the original fracti

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Question 186856: the numerator of a fraction is 3 less than the denominator. when both the numerator and denominator are increased by 4, the fraction is increased by 12/77. find the original fraction.
Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!
Let d be the denominator
n = d-3
Told







Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=724 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 11.4536240470737, -15.4536240470737. Here's your graph:


d = 11.45
Original fraction = 8.45/11.45
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