The sum of two numbers is 28. the product of the numbers is 7. find the sum of the reciprocals of the numbers.

X+y=28
xy=7

xy=7
divide both sides by x
y=7/x
sub 7/x for y in first equation

7/x+x=28
times both sides by x
7+x^2=28x
minus 28x from both sides
x^2-28x+7=0
use quadratic formula
if
ax^2+bx+c=0
x=
x=
x=
sub for y
y=7/x
y=

the reciprocals are
and

times first one by and second by 7/7



evaluate the plus and minus yourself please, my head hurts