SOLUTION: If the sum of two integers -4 and product of its -21 then find the largest integer

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Question 897753: If the sum of two integers -4 and product of its -21 then find the largest integer
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB=-4
A%2AB=-21
From the first equation,
A=-4-B
Substitute into the second,
-%284%2BB%29B=-21
4B%2BB%5E2=21
B%5E2%2B4B-21=0
%28B%2B7%29%28B-3%29=0
Two solutions:
B%2B7=0
B=-7
Then,
A-7=-4
A=3
and
B-3=0
B=3
A%2B3=-4
A=-7
The two integers are -7 and 3.
The largest integer is 3.