xy=11
x+y=-26
x+y=-26
minus x both sides
y=-26-x
sub for y
x(-26-x)=11
-26x-x^2=11
add 26x+x^2 both sides
x^2+26x+11=0
ax^2+bx+c=0
x=\(\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}\)
a=1
b=26
c=11
x=\(\frac{-26+/-\sqrt{26^{2}-4(1)(11)} }{2(1)}\)
x=\(\frac{-26+/-\sqrt{676-44} }{2}\)
x=\(\frac{-26+/-\sqrt{632} }{2}\)
x=\(\frac{-26+/-2\sqrt{158} }{2}\)
x=\(-13+/-\sqrt{158}\)
x=\(-13+\sqrt{158}\) or \(-13-\sqrt{158}\)
aprox
x=-0.420195 or -25.5698
those are the numbers
