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=$\frac{6+/- \sqrt{36+8} }{2}$
x=$\frac{6+/- \sqrt{44} }{2}$
x=$\frac{6+/- 2\sqrt{11} }{2}$
x=$3+/- \sqrt{11}$

x=$3+ \sqrt{11}$ or x=$3- \sqrt{11}$
aprox
x=6.31662 or -0.316625

those are the numbers

6.31662 and -0.316625