Question 1121353
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The standard solution is THIS:


x + y = -7     (1)
xy    = -8     (2)


From eq(1) express y = -7-x  and substitute it into eq(2). You will get


x*(-7-x) = 8

x*(7+x) = 8

x^2 + 7x - 8 = 0


{{{x[1,2]}}} = {{{(-7 +- sqrt(7^2 + 4*8))/2}}} = {{{(-7 +- 9)/2}}}.


<U>Answer</U>.  The numbers are  {{{(-7 + 9)/2}}} = 1 and  {{{(-7 - 9)/2}}} = -8.
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