Challenge 199: Reciprocation
Can you find the exact values of the possible pairs of values for x and y?
I have the following information about two numbers, x and y.
Firstly, x2 is the reciprocal of y2.
Secondly, the sum of the reciprocals of x2 and y2 is 6.
Find the exact values of the possible pairs of values for x and y – ideally without using your calculator!
(The reciprocal of a value p is 1 ÷ p).