Ramanujan problem

Find the value of x and y for the following two equations: $$ \sqrt{x} + y = 7 $$ $$ x + \sqrt{y} = 11 $$ My solutuin is based on a guess. From the above, the instinct is that both x and y are the numbers like 1, 4, 9, 16, etc. If we rewrite the equations as follows: $$ x = (7 - y)^2 $$ $$ y = (11 -x)^2 $$...

May 31, 2022 · 1 min · un01s