Решите систему неравенств {(5x+1)^2=6y {(x+5)^2=6y - вопрос №27089115126526 от ket174 02.04.2020 09:30

Question

Алгебра: Решите систему неравенств {(5x+1)^2=6y {(x+5)^2=6y

ket174 · Answer

6Y = 6Y
( 5X + 1)^2 = ( X + 5)^2
25X^2 + 10X + 1 = X^2 + 10X + 25
24X^2 = 24
X^2 = 1
X1 = + 1
X2 = - 1

( X + 5)^2 = 6Y
6Y = ( 1 + 5)^2
6Y = 36
Y1 = 6

( - 1 + 5)^2 = 6Y
6Y = 16
Y2 = 16/6 = 8/3 = 2 2/3

ответ ( 1 ; 6 ) ; ( - 1 ; 2 2/3 )