Question

What Multiplies to 2 and adds up to Negative 2

Answer 1

-2 I think it will be that cause the 2

Answer 2

xy=2
x+y=-2
minus x

y=-2-x
sub
x(-2-x)=2
-2x-x^2=2
add 2x+x^2 both sides
0=x^2+2x+2
quadratic formula
if you have
ax^2+bx+c=0
x=
`\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}`

x^2+2x+2
a=1
b=2
c=2
x=
`\frac{-2+/- \sqrt{2^(2)-4(1)(2)} }{2(1)}`
x=
`(-2+/- √(4-8) )/(2)`
x=
`(-2+/- √(-4) )/(2)`
x=
`(-2+/- √(-1)√(4) )/(2)`
remember √-1=i
x=
`(-2+/- i√(4) )/(2)`
x=
`(-2+/- 2i)/(2)`
x=-1+/-i

x=i-1 or -i-1

the 2 numbers are i-1 and -i-1