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

Question 197327: Find two real numbers that have a sum of 8 and a product of 2.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Find two real numbers: x and y:
:
that have a sum of 8
x + y = 8
y = (8-x); use for substitution
:
and a product of 2.
x*y = 2
:
Replace y with (8-x) in the above equation:
x(8-x) = 2
:
8x - x^2 = 2
:
-x^2 + 8s - 2 = 0
:
Use the quadratic formula to find x

In this equation; a=-1; b=8; c=-2

Two solutions:

x = +.258; then y =7.742
and

x = +7.742; then y = .258
:
You can check these solutions in the original problem

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