Задача 3216 Решить system{sqrt(5+x) + 3sqrt(2-y) =...

paciki

22.05.2015

Решить system{sqrt(5+x) + 3sqrt(2-y) = 6; 5sqrt(2-y) - 2sqrt(5+x) = -1}

slava191

11.08.2015

★

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