SOLUTION: Find the exact solution(s) to each problem. If the solution(s) are irrational, then also find approximate solution(s) to the nearest tenth. More missing numbers. Find two real n

Question 198350: Find the exact solution(s) to each problem. If the solution(s) are irrational, then also find approximate solution(s) to the nearest tenth.
More missing numbers. Find two real numbers that have a sum of 8 and a product of 2.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find two real numbers that have a sum of 8 and a product of 2.
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x*(8-x) = 2

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=56 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 7.74165738677394, 0.258342613226059. Here's your graph:

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x = 4+sqrt(14) and 4-sqrt(14)
x = 7.74166, 0.25834
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x = 7.7, 0.3
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