SOLUTION: ,a+b=6 ,ab=8 Solve it

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Question 1100771: ,a+b=6
,ab=8
Solve it
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
From 2,
a=b%2F8
Substituting into 1,
8%2Fb%2Bb=6
8%2Bb%5E2=6b
b%5E2-6b=-8
Complete the square,
b%5E2-6b%2B9=-8%2B9
%28b-3%29%5E2=1
b-3=0+%2B-+1
b=3+%2B-+1
b=4 and b=2
When b=4,
a%284%29=8
a=2
(2,4)
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When b=2
a%282%29=8
a=4
(4,2)
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