1) (3x+1)^2 - (3x-1)^2 = 11x + 1
(9x^2 + 6x + 1) - (9x^2 - 6x + 1) = 11x + 19x^2 + 6x + 1 - 9x^2 + 6x - 1 = 11x + 112x = 11x + 112x - 11x = 1x = 1
Ответ: x = 1
2) (5 + 2y)(y - 3) - 2(y - 1)^2 = 0
5y - 15 + 2y^2 - 6y - 2(y^2 - 2y + 1) = 05y - 15 + 2y^2 - 6y - 2y^2 + 4y - 2 = 05y - 15 - 6y + 4y - 2 = 03y - 17 = 03y = 17y = 17 / 3
Ответ: y = 17 / 3
1) (3x+1)^2 - (3x-1)^2 = 11x + 1
(9x^2 + 6x + 1) - (9x^2 - 6x + 1) = 11x + 1
9x^2 + 6x + 1 - 9x^2 + 6x - 1 = 11x + 1
12x = 11x + 1
12x - 11x = 1
x = 1
Ответ: x = 1
2) (5 + 2y)(y - 3) - 2(y - 1)^2 = 0
5y - 15 + 2y^2 - 6y - 2(y^2 - 2y + 1) = 0
5y - 15 + 2y^2 - 6y - 2y^2 + 4y - 2 = 0
5y - 15 - 6y + 4y - 2 = 0
3y - 17 = 0
3y = 17
y = 17 / 3
Ответ: y = 17 / 3