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
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a + b + c = 2/3, a*b*c = 5/3
etc
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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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