Решить system{sqrt(5+x) + 3sqrt(2-y) = 6; 5sqrt(2-y) - 2sqrt(5+x) = -1}
system{sqrt(5+x) + 3sqrt(2-y) = 6; 5sqrt(2-y) - 2sqrt(5+x) = -1} sqrt(5+x) + 3sqrt(2-y) = 6 sqrt(5+x) = 6 - 3sqrt(2-y) 5sqrt(2-y) - 2sqrt(5+x) = -1 5sqrt(2-y) - 6 + 3sqrt(2-y) = -1 8sqrt(2-y) = 5 sqrt(2-y) = 5/8 2-y = 25/64 y = 2 - 25/64 sqrt(5+x) = 6 - 3*(5/8) x = (6 - 3*(5/8))^2 - 5
(4;1) - решение системы.