Subject :IMO Class : Class 8
A riddle for you guys:
Find the number, which has this amazing property that the product of the number and its reciprocal is the same as their difference.
Ans 1:
Class : Class 10
There exist two such numbers : (1-sqrt(5))/2 and (1+sqrt(5))/2
This can be taken out by making a quadratic equation and using the discriminant formula,
which is:
x=(b*sqrt(b^2-4ac))/2a