SOLUTION: Find two numbers such that their sum is 6 and their product is 6.

Question 1075348: Find two numbers such that their sum is 6 and their product is 6.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
1) x + y = 6
2) xy = 6
:
(6-y) * y = 6
:
6y - y^2 = 6
:
y^2 -6y + 6 = 0
:
y = (6 + square root(36 -24)) / 2 = 3 + square root(3) = 4.732
y = (6 - square root(36 -24)) / 2 = 3 - square root(3) = 1.268
:
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y = 4.732, x = 1.268
:
(1.268) * (4.732) = 6.000176 approx 6
:
our answer checks
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