Question 897753
{{{A+B=-4}}}
{{{A*B=-21}}}
From the first equation,
{{{A=-4-B}}}
Substitute into the second,
{{{-(4+B)B=-21}}}
{{{4B+B^2=21}}}
{{{B^2+4B-21=0}}}
{{{(B+7)(B-3)=0}}}
Two solutions:
{{{B+7=0}}}
{{{B=-7}}}
Then,
{{{A-7=-4}}}
{{{A=3}}}
and
{{{B-3=0}}}
{{{B=3}}}
{{{A+3=-4}}}
{{{A=-7}}}
The two integers are -7 and 3.
The largest integer is 3.