SOLUTION: Think of two numbers. When you add them you get 6.5. When you multiply you get 0.64. What are the two numbers.

Question 784954: Think of two numbers. When you add them you get 6.5. When you multiply you get 0.64. What are the two numbers.

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let the numbers be x and y.
x+y=6.5
xy=.64
.
x=6.5-y
y(6.5-y)=.64
6.5y-y^2=.64
-y^2+6.5y-.64=0
y=.1 and x=6.4 or vice versa (see below)
.
Ed
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=39.69 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.1, 6.4. Here's your graph:

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