Question

What two numbers multiply to -4 but add up to 3

Answer 1

Answer:

the two numbers are -1 and 4

Step-by-step explanation:

set each number to some variable, I'll use x and y

given what we know, we know that

x*y = -4

x+y = 3

through algebraic manipulation, x= 3-y

(3-y)*y = -4

3y-y^2 = -4

$-y^2+3y+4 = 0$, now factor

(y-1)(-y+4) = 0

y = 1, 4

if y = 1:

x+1 = 3

x = 2

BUT 2 * 1 does not equal -4, so therefore 2 and 1 cannot be the solution

testing x = 4

x+4 = 3

x = -1

-1 * 4 = - 4

the two numbers are -1 and 4