Question

Multiplies to -2 adds to 6

Answer 1

xy=-2
x+y=6

minnus x from second equation
y=6-x
sub for y
x(6-x)=-2
6x-x^2=-2
add x^2 both sides and minus 6x both sides
0=x^2-6x-2
use quadatic formula

if you have
ax^2+bx+c=0
x=
`\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}`


x^2-6x-2=0
a=1
b=-6
c=-2
x=
`\frac{-(-6)+/- \sqrt{(-6)^(2)-4(1)(-2)} }{2(1)}`
x=
`(6+/- √(36+8) )/(2)`
x=
`(6+/- √(44) )/(2)`
x=
`(6+/- 2√(11) )/(2)`
x=
`3+/- √(11)`

x=
`3+ √(11)` or x=
`3- √(11)`
aprox
x=6.31662 or -0.316625

those are the numbers

6.31662 and -0.316625