Задание 2.1
(7y - 2)² + 25y = 1 + 49y²
49y² - 28y + 4 + 25y - 1 - 49y² = 0
-3y + 3 = 0
-3y = -3
y = 1
Задание 2.2
(4x + 3)² - 10x = 16x² + 1
16x² + 24x + 9 - 10x - 16x² - 1 = 0
14x + 8 = 0
14x = -8
x = -⁸/₁₄ = -⁴/₇
Задание 2.3
(x + 3)(x + 7) - (x + 4)² = 0
x² + 7x + 3x + 21 - (x² + 8x + 16) = 0
x² + 10x + 21 - x² - 8x - 16 = 0
2x + 5 = 0
2x = -5
x = -⁵/₂
Задание 2.4
(x - 3)² - (x - 5)(x + 3) = 0
x² - 6x + 9 - (x² - 5x + 3x - 15) = 0
x² - 6x + 9 - x² + 5x - 3x + 15 = 0
-4x + 24 = 0
-4x = -24
x = 6