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

Question 182230: Find two real numbers that have a sum of 8 and a product of 2.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let x and y be the two numbers, then:
1) and
2) Rewrite equation 1) as: and substitute into equation 2).
2a) Simplify.
2a) Rewrite this in standard quadratic form.
Solve by the quadratic formula: where: a = 1, b = -8, and c = 2.
Evaluate.

or These are the two real numbers.
Check:
Substitute and
= 8
Substitute for x and y as above.
=

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