What two numbers multiply to 6 and add to -5

Answer 1

xy=6 Equation 1

y+x=-5 Equation 2

Let's use Equation 2 and solve for y

y=-x-5

Let's substitute the value of y (from Eq. 2) into Equation 1

x(-x-5)=6

Distribute

-x²-5x=6

-x²-5x-6=0 (to make this easier we can multiply both sides by -1)

x²+5x+6=0

Solve by factoring or quadratic equation:

(x+3)(x+2)=0

x = -3

x = -2

You can also use trial and error method or matrices