Question

Two numbers that multiply to -8 and add to -7

Answer 1

-8 and 1

Explanation:

Let the numbers be

X and Y

From statement 1,

X * Y = -8--------------(1)

From statement 2,

X + Y= -7---------------(2)

From (2) X= -Y-7---------(3)

Substitute (3) in (1)

(-Y-7)* Y = -8

-Y^2 -7Y = -8

Y^2 + 7Y -8= 0

Y( Y-1) +8 (Y-1)= 0

(Y+8) (Y-1)= 0

Y= -8 or 1

From (2);

When Y = -8; X =1

When Y =1; X= -8

The numbers are -8 and 1

Answer 2

-8 and 1

Explanation:

-8*1 = -8

-8+1 = -7