Easy Algebra Question

two numbers in which the sum is 6 and the product is 4, find the largest.

xy = 4
x + y = 6
x = 6 - y

y(6 - y) = 4
-y^2 + 6y = 4
y^2 - 6y = -4
y^2 - 6y + 9 = -4 + 9
(y - 3)^2 = 5
y - 3 = +/- SQR(5)

solution set {3 +/- sqr(5)}

is this correct?
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BrianGEFF719Author Commented:
I guess I just got thrown off by the find the largest, I figured it would be  rational number I guess.

Can you close the question now?
BrianGEFF719Author Commented:
Mangolata: thank you for your concern; however, this question is long since closed. Why you are even posting asking me to close it, i'm not sure.

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