Question

1. Two numbers have a product of 12 but their sum is -7 what are the numbers.

Answer 1

Answer:

Step-by-step explanation:

hello :

1)Two numbers have a product of 12 but their sum is -7 :

means :  xy=12 ....(*)

              x+y = -7 ....(**)

solve this system : use (**) you have   x = -y-7 put this value in (*)

so : (-y-7)y = 12

-y²-7y-12 = 0

y² +7y+12=0       a=1 b=7   and  c= 12

the discriminant  delta =b²-4ac        delta = 7²-4(1)(12) = 1

y1 = (-7-1)/2  = -4      and y2 =  (-7+1)/2 =-3

but x= -7-y

if :y =  - 4   x= -7-(-4) =-3

if : y=-3   x = -7-(-3) =-4

2) same method : xy=-30

                             x+y=1

Answer 2

Answer:

1. (-3) and (-4)

2. (-5) and 6; vise versa