Sum of 2 numbers is 1 and their product is 1/8. Find their difference.

Answer 1

a+b=1
ab=1/8 or b=1/8a

a+1/8a=1
8a^2 -8a+1=0

a^2-a+1/8=0

a=(1+-sqrt(1-1/2))/2

a=(1/2 +-sqrt(1/8)

if a= 1/2 + sqrt(1/8), then b must be 1/2 -sqrt (1/8)