What two numbers that add each other give you -8 but times it give you -20

Question

I just need to know what the answer is and how its possible because nothing under 8 except -4&-5 make -20.

Answer 1

x+y=-8 and x(y) = -20      I solved for x in the addition problem.  x=-8-y    I used that difference as the x value in the original multi prob    (-8-y)y=-20   that gives me   -8y - y^2 = -20    [y^2 means y squared]  I divided both sides by -1.  8y + y^2 = 20    that equals y^2 + 8y -20 = 0  Factor it. (y+10)(y-2) = 0   two results are -10 and 2    plug those into one of the original problems to get x = 2 and -6.      I don't know enough to tell you why we come up with -6 and 2 that do not work for your problem, but we do come up with the correct answers of x=2 and y=-10   add them=-8 and multiply them=-20

Answer 2

a + b = -8

ab = -20

 

 

a = -10 , b = 2

 

Lets check this.

 

a + b = -8

-10 + 2 = -8

   -8     =   -8

 

 

ab = -20

(-10)*(2) = -20

-20     =     -20