Question 258042
Let x and Y be the numbers. From the given information, we get
(i) {{{X + Y = -6}}}
(ii) {{{X*Y = -16}}}
step 1 - solve for X in (i) to get
(iii) {{{X = -6 - Y}}}
step 2 - substitute (iii) into (ii) to get
(iv) {{{(-6-Y)(Y) = -16}}}
expand (iv) to get
(v) {{{-Y^2 - 6Y = -16}}}
set = 0 to get
(vi) {{{-Y^2 -6Y + 16 = 0}}}
divide by -1 and factor to get
(vii) {{{(Y-2)(Y+8)=0}}}
solve to get
Y = 2, Y = -8. We have two answers in x,y form as
(-8,2) and (2,-8)