SOLUTION: find two real numbers that have a sum of 8 and a product of 2

Question 200693: find two real numbers that have a sum of 8 and a product of 2
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!

Use the quadratic equation to solve

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=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:

RELATED QUESTIONS
Find two real numbers that have a sum of 8 and a product of... (answered by oscargut)

Find two real numbers that have a sum of 8 and a product of... (answered by checkley77)

Find two real numbers that have a sum of 8 and a product of... (answered by nerdybill)

Find two real numbers that have a sum of 8 and a product of... (answered by Earlsdon)

Find two real numbers that have a sum of 8 and a product of... (answered by ankor@dixie-net.com)

Find two real numbers that have a sum of 8 and a product of... (answered by mananth)

Find two real numbers that have a sum of 6 and a product of 4. (answered by ankor@dixie-net.com)

Find two real numbers that have a sum of 6 and a product of... (answered by drj)

Missing numbers. Find two real numbers that have a sum of 6 and a product of... (answered by user_dude2008,edjones)