Решите уравнение (x-2) ^2+48 = (2-3x) ^2

(x - 2) ² + 48 = (2 - 3x) ²

(x - 2) ² - (2 - 3x) ² = - 48

(x - 2 + 2 - 3x) (x - 2 - 2 + 3x) = - 48

(-2x) (4x - 4) = - 48

-8x² + 8x + 48 = 0

x² - x - 6 = 0 D = b²-4ac = 1+24 = 25

x₁ = (1-5) / 2 = - 2

x₂ = (1+5) / 2 = 3

Ответ: {-2; 3}