What numbers add to 18 anf multiply to -47

Factor -47
it's prime
we have to use quadratic

so
set equations
x+y=18
xy=-47

x+y=18
minus x from both sides
y=18-x

sub 18-x for y in other equatin

x(18-x)=-47
distribute
18x-x^2=-47
times both sides by -1
x^2-18x=47
minus 47 from both sides
1x^2-18x-47=0

for equation
ax^2+bx+c=0
x=

a=1
b=-18
c=-47

x=
x=
x=
x=9+/-8√2

the numbers are
9+8√2 and 9-8√2

Ithink the answer is a