SOLUTION: What number when added will give you -2 and when multiplied will give you -46

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Question 1054516: What number when added will give you -2 and when multiplied will give you -46
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB=-2
and
AB=-46
So,
A=-46%2FB
Substitute,
-46%2FB%2BB=-2
-46%2BB%5E2=-2B
B%5E2%2B2B-46=0
B%5E2%2B2B%2B1-46=1
%28B%2B1%29%5E2=47
B%2B1=0+%2B-+sqrt%2847%29
B=-1+%2B-+sqrt%2847%29
So then,
A-1+%2B-+sqrt%2847%29=-2
A=-1+%2B-+sqrt%2847%29
So then the solutions are,
1.A=-1+%2B+sqrt%2847%29 and B=-1+-+sqrt%2847%29
2.A=-1+-+sqrt%2847%29 and B=-1+%2B+sqrt%2847%29