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Harmonic Harmony 3 (Posted on 2022-09-15)

Determine two positive integers x and y, with x>y, such that:

See The Solution Submitted by K Sengupta

Rating: 4.5000 (2 votes)

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computer solution

Comment 3 of 3 |

clearvars,clc

for x=1:1000

d=divisors(x);

for i=1:length(d)

y=d(i);

if y<x

if (x-y)*(y^2+1)==2*x*y

disp([x y])

end

finds

x=10

y=2

x-y=8

harmonic mean:

      2             2*x*y        40
-------------  =   -------   =  ----   =  8
(y/x)+1/(x*y)      y^2 + 1        5

Posted by Charlie on 2022-09-15 15:06:26

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