SOLUTION: Find 2 fractions whose product is 3/32 and whose sum is 7/8.

Question 271534: Find 2 fractions whose product is 3/32 and whose sum is 7/8.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let the fractions be x & y
xy=3/32
x+y=7/8
.
y=(7/8)-x
x((7/8)-x)=3/32 substitute (7/8)-x for y.
32x((7/8)-x)=3
28x-32x^2=3
32x^2-28x+3=0
x=3/4, y=1/8 or vice versa
.
Ed
.

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=400 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.75, 0.125. Here's your graph:

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