Question

the sum of two positive integers is 10 and the sum of their squares is 52 . Find the product of the numbers​

Answer 1

Answer:

let x=one number

let y=other number

x+y=10

-y -y

x=10-y

THEN using substitution...

x�+y�=61

(10-y)�+y�=61

100-10y-10y+y�+y�=61

100-20y+2y�=61

2y�-20y+39=0

Now use the quadratic formula or factor it...  

a=1, b=-1, c=-42

simplify: add x=7

10-7 =3

Answer 2

Answer:

two positive integers are 6 and 4

sum of numbers = 6+4

= 10

sum of their square =6²+4²

=36+16

=52

product of their numbers = 6×4

=24

Step-by-step explanation:

hope this will help you