SOLUTION: What are two numbers whose product is 348 and whose sum is -164?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: What are two numbers whose product is 348 and whose sum is -164?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 948805: What are two numbers whose product is 348 and whose sum is -164?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.A%2AB=384
2.A%2BB=-164
From eq. 2,
A=-B-164
Substitute into eq. 1,
-%28B%2B164%29B=384
B%5E2%2B164B%2B384=0
%28B%5E2%2B164B%2B6724%29%2B384=6724
%28B%2B82%29%5E2=6340
B%2B82=0+%2B-+sqrt%286340%29
B=-82+%2B-+2sqrt%281585%29
So then,
A-82%2B2sqrt%281585%29=-164
A=-82-2sqrt%281585%29
So the two numbers are,
A=-82-2sqrt%281585%29
B=-82%2B2sqrt%281585%29