Answer: let two numbers be x and y.
then, x + y = 18 .........(1)
and xy= 68.........(2)
we know,
(x-y)² = (x+y)² - 4xy
putting value from equations (1) and (2), we get
(x-y)² = 52
x-y = √52......... (3)
solving equations (1) and (3), we get
x = (18+√52)/2 and y = (18-√52)/2
Hence, we have two numbers.
Step-by-step explanation:
(x+y)² - 4xy = x² + y² + 2xy -4xy
= x² + y² - 2xy
= (x-y)