Question

What two numbers multiply to get -40 and add up to get -3

Answer 1

-8 (or) 5 and 5 (or) -8

Explanation:

Let one of the numbers = x

Let other number = y

As the sum of two numbers = -3

x + y = -3

x = -3-y

As the the result of multiplication = -40

xy = -40

(-3-y)*y = -40

-3y-y² = -40

-y²-3y+40 = 0

-(y²+3y-40) = 0

-(y+8)(y-5) = 0

(-y-8)(y-5) = 0

-y-8 = 0 (or) y-5 = 0

-y = 8 (or) y = 5

y = -8 (or) y = 5

when y = -8

x = -3-y

x = -3-(-8)

x = -3+8

x = 5

when y = 5

x = -3-y

x = -3-5

x = -8