SOLUTION: sum=2/3, product= 5/3

Question 1196265: sum=2/3, product= 5/3

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
sum=2/3, product= 5/3
You should specify how many terms:
a + b = 2/3, a*b = 5/3
-----------
a + b + c = 2/3, a*b*c = 5/3
etc
============
If it's 2 terms:
a + b = 2/3, a*b = 5/3
b = -a + 2/3
a*(-a + 2/3) = 5/3
-3a^2 + 2a = 5
3a^2 - 2a + 5 = 0

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 : .

The discriminant -56 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -56 is + or - .

The solution is , or
Here's your graph:

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