Question 1121353
what two numbers added equal -7 and multiplied equal -8
—————————
Let x and y be the two numbers

x+y = -7     —> x = -7-y
xy = -8 

Re-write the bottom equation with -7-y substituted for 'x':
(-7-y)y = -8
{{{-7y - y^2 = -8 }}}
{{{ y^2 + 7y - 8 = 0 }}}
{{{ (y+8)(y-1) = 0 }}}

y=-8  ==>  x=1
y=1   ==>  x=-8      

These are the same answer, as they just swap x and y in a trivial manner.  
 So the answer is  {{{highlight( 1)}}} and {{{highlight( -8)}}}