Решение
1) x² / (3 - x) = (2x) / (3 - x)
3 - x ≠ 0
x ≠ 3
x² = 2x
x² - 2x = 0
x(x - 2) = 0
x₁ = 0
x₂ = 2
2) (x² - 1) / (x + 5) = (5 - x) / )x + 5)
x + 5 ≠ 0
x≠ - 5
x² - 1 = 5 - x
x² + x - 6 = 0
x₁ = - 3
x₂ = 2
3) (2x + 3) / (x + 2) = (3x + 2) / (x + 2)
x + 2 ≠ 0
x ≠ - 2
2x + 3 = 3x + 2
x = 1
4) (4x² - 11x - 3) / (3 - x( = 0
3 - x ≠ 0
x ≠ 3
4x² - 11x - 3 = 0
D = 121 + 4*4*3 = 169
x = (11 - 13)/8
x₁ = - 1/4
x = (11 + 13)/8
x₂ = 3